If g(x) =4x+2 and f(x) =3x-10

find g(f(3))

Answers

Answer 1

Answer:

[tex]g(f(3))=-2[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]g(x)=4x+2\text{ and } f(x)=3x-10[/tex]

And we want to find g(f(3)).

So, let's find f(3) first:

[tex]f(3)=3(3)-10[/tex]

Multiply:

[tex]f(3)=9-10[/tex]

Subtract:

[tex]f(3)=-1[/tex]

Therefore, we can substitute -1 for f(3):

[tex]g(f(3))=g(-1)[/tex]

Now, find g(-1):

[tex]g(-1)=4(-1)+2[/tex]

Multiply:

[tex]g(-1)=-4+2[/tex]

Add:

[tex]g(-1)=-2[/tex]

And we're done!

So:

[tex]g(f(3))=-2[/tex]


Related Questions

Find the domain and range of the following absolute value functions. fx)=|x-1|+2 I’ll mark brainliest to whoever answers first

Answers

Answer:

Domain is All Real x.

Range is f(x) ≥ 2.

Step-by-step explanation:

The vertical lines about the x - 1 means the Absolute value ( always positive).

|x - 1| will always be positive or 0 and it's graph is  shaped like a V with the vertex at (1, 0)

The + 2 will move the graph up 2 units so the vertex becomes (1, 2).

If h = -19 and j = 16, what is
[tex] \sqrt{j - h} [/tex]

Answers

Add 16 and 19 in the root.
Answer is root of 35.

Answer:

[tex]\sqrt{35}[/tex]

Step-by-step explanation:

h =-19

j =16

[tex]\sqrt{j-h} = ?[/tex]

Substitute values into the given equation

[tex]\sqrt{16-(-19)} \\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=\sqrt{16+19}\\\\\mathrm{Add\:the\:numbers:}\:16+19=35\\\\=\sqrt{35}[/tex]

Gabe bought 8 bananas at the market for $1.84. Lucy bought 6 bananas at the grocery store for $2.10 . One banana at the grocery store is $ _______________ more than one banana at the market.

Answers

35p


2.10 divided 6 =35p

Answer:

one banana at the grocery store is 12 cents more than on banana at the market

The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.

Answers

Answer:

1.5<x<4 i hope this is right sorry if its not

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

HELP ME PLS HELP FAST DIE IN 5 MIN

Answers

i think the answer is 121 cm^2

Answer:

158 cm2

Step-by-step explanation:

surface area = (6×5)+2(8×5)+(8×6) = 158 cm2

-x^2 where x = -5
algebra 2

Answers

Step-by-step explanation:

if if you put x equals to -5

it becomes -(-5)^2 which is equal to -25

Answer:

-25

Step-by-step explanation:

1) The equation is -(-5)^2

2) When you square a negative number, it will be a positive

3) So in this equation it would be -(25)

4) However, there's another negative sign in front.

5) So the answer therefore is -25

Hope this helps!

5 degrees below zero

Answers

Answer:

5 degrees below zero = -5 degrees

5 degrees below zero would just simply be -5

4+10=-2(8x-7) this dosent make any sence to me. can someone help me out

Answers

Answer: x=0

Step-by-step explanation:

(you are trying to find x)

4+10=-2(8x-7)

2+5=(8x+7)

7=(8x+7)

0=8x

x=0

Pls rate this brainliest

There are 28 butterflies in the garden. Some are blue and some are yellow. If b represents the number of blue butterflies in the garden, which expression represents the number of yellow butterflies in the garden?

Answers

Answer:

y = 28 - b

Step-by-step explanation:

you can find the number of yellow butterflies, y, by subtracting the number of blue butterflies, b, from the total number of butterflies which is 28.


The perimeter of a square is 60. If one side length of the square is X-4, then what is the value of x

Answers

Answer:

X= 19

Step-by-step explanation:

If you take 4 away from 19, it equals 15, the perimeter is all sides of the square. Which is 4 sides, 15 x 4 = 60 or 15+15+15+15. The formula for perimeter is all the sides added together.

Let f(x)=2x-5 and g(x)=x^2
Perform the function operation (f-g)(x)

Answers

Answer:

2x - 5 - x²

Step-by-step explanation:

note (f - g)(x) = f(x) - g(x), thus

f(x) - g(x)

= 2x - 5 - x²

5x-2=3x+4
which one?
x=1
x=2/3
x=-3
x=3

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

[tex]\boxed {\tt x=3}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]5x-2=3x+4[/tex]

We want to solve for x, therefore we must isolate x on one side of the equation.

First, move all the constants to one side of the equation. 2 is being subtracted from 5x. The inverse of subtraction is addition. Add 2 to both sides.

[tex]5x-2+2=3x+4+2[/tex]

[tex]5x=3x+4+2[/tex]

[tex]5x=3x+6[/tex]

Next, move all the terms with variables to one side. 3x is being added to 6. The inverse of addition is subtraction. Subtract 3x from both sides.

[tex]5x-3x=3x-3x+6[/tex]

[tex]5x-3x=6[/tex]

[tex]2x=6[/tex]

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.

[tex]\frac{2x}{2} =\frac{6}{2}[/tex]

[tex]x=\frac{6}{2}[/tex]

[tex]x=3[/tex]

x is equal to 3 and the correct answer is D. x=3

Which equation represents a line which is parallel to the line y=-3/4 x -2

Answers

Answer:  Any equation that is of the form y = -3/4x + b, where b is a real number, will be parallel to y = -3/4x - 2.

Step-by-step explanation:

A parallel line has the same slope as the original line.  Therefore, if the equation of the original line is y = mx+b, m (the slope) will remain the same, while b can change.

The equation  y = -3/4x - 2 has the same slope -3/4, represents a line which is parallel to the line y=-3/4 x -2

What is a linear function?

A function that can be represented in the form of y =mx +c, is called a Linear Function. where m is the slope and c is the y-intercept.

The slope of the given line can be found as;

A parallel line has the same slope as the original line.  Thus, if the equation of the original line is y = mx+b, m (the slope) will remain the same, while b can change.

Any equation that is of the form y = -3/4x + b,

where b is a real number, will be parallel to the equation.

y = -3/4x - 2.

m = -3/4

The equation  y = -3/4x - 2 has the same slope -3/4, represents a line which is parallel to the line y=-3/4 x -2

To know more about Linear Functions;

brainly.com/question/21107621

#SPJ2

8 + 4x = 2x + 8 + 2x

Answers

Answer:x=0

Step-by-step explanation:

Answer:

0 = 0

True

Step-by-step explanation:

[tex]8 + 4x = 2x + 8 + 2x[/tex]

Collect like terms

[tex]8-8 =2x+2x -4x\\[/tex]

Simplify

[tex]8-8 =0\\2x+2x =4x\\4x -4x =0\\\\0=0[/tex]


1. There are 4 quarters in 1 dollar.
a) Shades 1/2 of a dollar.
b) How many cents is 1/2 of a
dollar?

Answers

25 cents you dumb stupid child
there are 50 cents in 1/2 of a dollar.

Please answer the question and give an explanation. Will give brainliest.

Answers

Step-by-step explanation:

By Pythagoras' Theorem, z^2 + (2.7)^2 = (4.2)^2.

This means that z^2 = (4.2)^2 - (2.7)^2 = 10.35.

So z = 3.2 (1 d.p.)

Step-by-step explanation:

x=4.2

y=2.7

z=x

(×+y=×

(4.2+2.7=×)

×=6.9

3(6-f)-4=3f-4
Solve for f

Answers

Answer:

 3=f

Step-by-step explanation:

3(6-f)-4=3f-4

18- 3f=3f-4

14-3f=3f-4

14=6f-4

18=6f

3=f

Answer:

f=3

Step-by-step explanation:

A is the midpoint of BC.
BA = 3x+8
AC=23.
solve for x

Answers

Since A is the midpoint of BC, we can assume BA and AC are equal to each other.

We also know that BC = BA + AC = 23 + 23 = 46

Since A is the midpoint of BC, A divides BA and AC equally.
Therefore, BA=AC.
Since BA=AC,
3x+8=23
Or, 3x= 23-8
Or, 3x= 15
Or, x=15/3
Therefore, x=5.
Ans: x=5.

how does a triangular prism look

Answers

Answer:

its like a 3d rectangle triangle

Step-by-step explanation:

yes

i need help please and thanks a lot ​

Answers

Step-by-step explanation:

[tex] \huge \: K = \frac{1}{2} m {v}^{2} \\ \\ \huge \: 2 K =m {v}^{2} \\ \\ \huge \purple{ \boxed{m = \frac{2 K}{ {v}^{2} } }}[/tex]

2p +5q = 21
3p-2q=-16

Answers

Answer:

p =− 2

q = 5

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

p =− 2

q = 5

Answer:

q = 5

p = -2

Step-by-step explanation:

I'm gonna use elimination

2p + 5q = 21  Multiply 3 ------> 6p +15q = 63

3p - 2q = -16  Multiply 2 -------> 6p -4q = -32

 6p +15q = 63

 6p -4q = -32                                                                                                                  -__________

19q = 95

q = 5

To find P use any of the equations and substitute q to 5

3p -2(5) = -16

3p -10 = -16

3p = -6

p = -2

6(1 + 5n) − 6n = 174

Answers

Answer:

N=7

Step-by-step explanation:

1. Distribute the 6 into the parentheses

6+30n-6n=174

2.combine like terms

6+24n=174

3. Subtract 6 on both sides

24n=168

4.now divide

24/24 cancels out 24/168 is what 7 soooo

n=7

if i weigh 210 and i need to loose 5 pounds a month in 6 months what is my end weight

Answers

That would be 180 cuz you lose a total of 5 pounds per 6 months so30 pounds. Then 210 minus 30 is 180

Evaluate the following expression for x = 4.


1+3(x-1)-2x

Answers

Answer:

2

Step-by-step explanation:

1+3(x-1)-2x

Substitute the value of x into the equation:

1 + 3(4-1) -2 (4)

1 + 3(3)- 8

1 + 9 - 8

2

5 (n - 14) =2 (n + 14)​

Answers

Answer:

n= 98/3

Step-by-step explanation:

1. Complete distributive property *5(n-14)* and *2(n+14)*

5n-70=2n+28

2. Subtract 5n from both sides

-70=-3n+28

3. Subtract -70 from both sides

-98=-3n

4. Divide the variable from both sides *-3n*

-98/-3

5. Simplify

98/3

Final Answer:

98/3

6(x – 1) = 9(x + 2) solve for x

Answers

It’s -8 the answer for your question

If u=18, x=−10, and y=8 what is the value of u+xy?

Answers

Answer:

u+xy=18+(-10)8

=18-80

= -62

I need help with this solving equations X + 9 = -16

Answers

Answer:

Step-by-step explanation:

x + 9 = -16

Subtract 9 form both sides

x + 9 - 9 = - 16 - 9

x = -25

Answer:

X= -25

Step-by-step explanation:

Subtract 9 from both sides.

The lengths of the sides of a triangle are consecutive integers. If the perimeter of the triangle is 111, find the lengths of the sides.

Answers

Answer:

we know

perimeter of triangle = sum of all sides

here lengths of sides are consecutive integers so

length  of three sides = x, (x+1) and (x+2)

now

Perimeter = 111

or,  x + (x+1) + (x+2) = 111

or 3x + 3 = 111

or 3x = 108

x = 36

x = 36

(x+1) = 36 + 1 = 37

(x+2)= 36 + 2 = 38

Help me please!!! Find the distance between the points (-3,-1) and (5,-1)

Answers

Answer:

D = 8

Step-by-step explanation:

[tex]d= \sqrt{(5-(-3))^2+(-1-(-1))^2} \\d= \sqrt{(8)^2+(0)^2} \\d= \sqrt{64+0} \\d= \sqrt{64} \\d= 8[/tex]

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