given function of f(x) = 2x - 1 and fg(x) = 10x + 3, find the function of g(x)​

Answers

Answer 1

Answer:

The function of g(x) = 5x + 2

Step-by-step explanation:

Let us use the composite function to solve the question

∵ f(x) = 2x - 1

∵ f(g(x)) = 10x + 3

f(g(x)) means substitute x in f(x) by g(x)

f(g(x)) = 2[g(x)] - 1

→ Equate the two right sides of f(g(x))

2[g(x)] - 1 = 10x + 3

→ Add 1 to both sides

∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1

∴ 2[g(x)] = 10x + 4

→ Divide each term into both sides by 2

∵ [tex]\frac{2[g(x)]}{2}[/tex] = [tex]\frac{10x}{2}[/tex] + [tex]\frac{4}{2}[/tex]

g(x) = 5x + 2

The function of g(x) = 5x + 2


Related Questions

Find the slope of the line containing the pair of points.
(-9,- 8) and (-8,-6)

Answers

Answer:

slope = 2

Step-by-step explanation:

-8 - -6 / -9 - -8 = 2

Answer:

[tex]\frac{2}{1}[/tex] which is just 2

Step-by-step explanation:

slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

So plug the numbers in, now it should look like [tex]\frac{-6 - (-8)}{-8 - (-9)}[/tex]

-6 - (-8) = 2

-8 - (-9) = 1

So the slope is [tex]\frac{2}{1}[/tex]

answerrr the question please xx

Answers

Answer:

2

Step-by-step explanation:

one vertically and one horizontally

The answer is 2
Sorry if wrong

This is my last problem is the answer right or wrong

Answers

I need help on that one to‍♀️

13/26 = x/24 solve for x
PLEASE ANSWER

Answers

Answer:

x= 12

Step-by-step explanation:

hope this helps!!

find the nth term of the sequence -5,-1,3,7​

Answers

4n - 9

Step-by-step explanation:

use formula nth term = a + (n-1)d where a is the first term and d is common difference

Answer:

                  [tex]\bold{a_n=4n-9}[/tex]

Step-by-step explanation:

-1-(-5) = 4   and   3-(-1) = 4   and  7-3 = 3

so: d=4

[tex]a_n=a_1+d(n-1)\\a_1=-5\\d=4\\\\a_{n}=-5+4(n-1)=-5+4n-4=4n-9[/tex]

PLEASEEE PLEASE HELPPP!!

Which property is illustrated by the equation
3x – 6y = 3(x - 2y)?
1. associative
2.Commutative
3.distributive
4.closure

Answers

Answer:  3. Distributive

Step-by-step explanation:

 

3(x -2y) = 3x - 6y   To get from  left to rigth, you have to multiply them which is the same as distribitue.

3(x) - 3(2y) = 3x - 6y

Point Q'Q

Q, prime is the image of Q(0,6)Q(0,6)Q, left parenthesis, 0, comma, 6, right parenthesis under the translation (x,y)\to(x+7,y-5)(x,y)→(x+7,y−5)left parenthesis, x, comma, y, right parenthesis, \to, left parenthesis, x, plus, 7, comma, y, minus, 5, right parenthesis
\

Answers

Answer:

9,2

Step-by-step explanation:

i got it on khan

Answer:

7,1

Step-by-step explanation:

let's add 7 to x

0+7=7

let's subtract 5 from y

6-5=1

Q' is (7,1)

A function has the function rule y = x - 7. If the input is 4, what is the output?

A. 3
B. -3
C. 11
D. -11

Answers

Answer:

The awnser is B. -3

Step-by-step explanation:

4-7=-3

x-7= y

I need help NOW please!!!

Answers

Answer:

B)34

Step-by-step explanation:

Answer:

B.34°

supplementary angles

their sum is 180

180=146+x

x=180-146=34

If anyone plays pokemon go if you do put it in your answer

Answers

Answer:

I play Pokemon Go everyday! I play Pokemon Gooooo :)

Step-by-step explanation:

Answer: My teacher does

which of the following represents an exponential function

Answers

Answer:

what are the options

Step-by-step explanation:

HELLOPPPPPPPP ASAPPPPPP PLEASEEEE

Answers

Answer:

A.

Step-by-step explanation:

pleaseee help

6x7/8=
5/6x2/5=

Answers

6×7/8 =5 1/4 and 5/6x2/5= 1/3

this is the formula which I am asking you all​

Answers

Answer:

That is literally still the same formula for mean.

Step-by-step explanation:

7k-3=6k what does k equal

Answers

Answer:

k = 3/13

Step-by-step explanation:

7k-3=6k

3 = 6k + 7k

13K = 3

k = 3/13

how do i find the value of x in -5 = .5x

Answers

Answer:

[tex] - 5 = 0.5x \\ \frac{ - 5}{0.5} = x \\ - 10 = x[/tex]

Step-by-step explanation:

this is the step

6) In 3 seconds you can fill up a pool with 42 gallons of water. If this is a proportional
relationship fill in the table below.
Time (sec) 1/2/3/4/5
Amount of /. /42/. /. /
Water (gal)

Answers

Answer:

1/2/3/4/5

14/28/42/56/70

Step-by-step explanation:

divide the 42 gallons by 3 (since 3 seconds for 42 gallons) to find the rate of change. the answer is 14. then just do the number times 14 all the way. and yes this is proportional

Based on the graph, which inequality is correct for a number that is to the right of -3?

A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 3. The entire portion of the number line to the right of negative 3 is shaded.

a
4 > −3
b
−3 > 4
c
−2 < −3
d
−3 < −6

Answers

Answer:

The inequality

[tex]4\:>\:-3[/tex]

4 can is always greater than -3, so [tex]4\:>\:-3[/tex]  is also correct.

Therefore, option 'a' is correct.

Step-by-step explanation:

Given the inequality

[tex]-3\:>\:4[/tex]

-3 can not be greater than 4, so [tex]-3\:>\:4[/tex] is also incorrect.

Given the inequality

[tex]-2\:<\:-3[/tex]

-2 can not be lesser than -3, so [tex]-2\:<\:-3[/tex] is also incorrect.

Given the inequality

[tex]-3\:<\:-6[/tex]

-3 can not be lesser than -6, so [tex]-3\:<\:-6[/tex]  is also incorrect.

Given the inequality

[tex]4\:>\:-3[/tex]

4 can is always greater than -3, so [tex]4\:>\:-3[/tex]  is also correct.

Therefore, option 'a' is correct.

Which ratio is equivalent to 3;9?

Answers

Answer:

sorry if its incorrect

Step-by-step explanation:

I think its 18:54

6:18
9:27
1:3
I hope this helps

In which quadrant is the point (–3, 5) located? quadrant I quadrant II quadrant III quadrant IV

Answers

Answer:

B

Step-by-step explanation:

just ended the test

Answer: (-3, 5) : Quadrant 2

i am in need of help

Answers

CAD= BAD
AD=AD( the same side of two angles).

Make a sketch of a linear relationship with slope 3 that is not a proportional relationship show how you know hay slope is 3 write an equation for the line

Answers

Answer:

A proportional relationship is something like:

y = k*x

Where k is the constant of proportionality

And a linear relationship is something like:

y = a*x + b

Is easy to see that if:

a = k, and b = 0, this would be a proportional relationship.

Then if we want to have a slope equal to 3, but this must not be a proportional relationship, we must only have b different than 0.

This could be something like:

y = 3*x + 1

The graph of this is:

A linear non - proportional relationship could be written with as a slope - intercept with a non - zero intercept value. One such relationship with a slope of 3 can be expressed thus :

y = 3x + 5

Here, the linear relationship, has a slope value of 3 and an intercept value of 5. The function cannot be proportional due to the presence of a non-zero constant

Hence, Using a graphing calculator, the sketch of the linear relationship is attached.

Learn more : https://brainly.com/question/18405415

The table shows the height of water in a pool as it is being filled. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? Height of Water in a Pool Time (min) 2 4 6 8 10 Height (in.) 8. R12 16 20 24 O The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. O The height of the water will be 2 inches when the pool is filled.​

Answers

Answer:

Step-by-step explanation:

Answer:

A) The height of the water increases 2 inches per minute.

Step-by-step explanation:

Slope is the rate of change of height

m = (16 - 12)/(4 - 2) = 4/2 = 2

2 inch per min

Positive slope implies increase

PLEASE HELP IV ASKED A MILLION TIMES!!!!! ASAP WITH BRAINLIEST!!!!!!!!!

Are the triangles APB and APR similar? Explain in terms of the following:

Corresponding angles and Parallel lines cut by a transversal

AA Criterion

Answers

Answer:

yes

Step-by-step explanation:

Please give me brainleist

ou swim in a 100-meter race. Your best time is 59.48 seconds. You want to swim the race in 51.55 seconds. How much will you need to trim from your best time?

Answers

Answer:

7.93 seconds

Step-by-step explanation:

Subtract!

59.48s - 51.55s = 7.93 seconds

Needs to be trimmed.

Answer:

7.93

Step-by-step explanation:

59.48 minus 51.55 is 7.93

a cleaning service orders 7 large bottles and 14 small bottles of a cleaning product.Each large bottle has 124 ounces.Each small bottle has 64 ounces. which is the best estimate of the total amount of cleaning product the cleaning service orders?
I need help please!!​

Answers

Answer: small bottles

Step-by-step explanation:

124 * 7 =868 ounces

14 * 64 = 896 ounces

Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons how many liters of water will you need to make lemonade?

Answers

Answer:

6 Liters

Step-by-step

4 Lemons = 3 Liters

8 Lemons = 6 Liters

So its basicly multiplying it by 2  ^O^

Answer:

X = 6

Step-by-step explanation:

number of lemons. Liters

4 ---> 3

8 ---> X

= 4:8 = 3: X

= 4 = 3

8 X

= 4X = 3×8

= X = 3 × 8

4

= X = 6 answer X=6

someone help :( 3333333

Answers

Answer:

5 feet

mark above answer BRILLIANT

20000×50×45×0×23×5×6+229+466+7+5+8+9+1+2+3+45+6+7+8+9+10. Hope you like question don't answer if you don't want to. Have a great day​

Answers

815? but have a great day as well!

101 = -4 + 5(x + 2)

please help

Answers

Answer:x=19

Step-by-step explanation:

101 = -4 + 5(x + 2)

101= -4 +5x+10

91=-4+5x

95=5x

x=19

19

Step-by-step explanation:

Distribute 5

101=-4+5x+10

Combine like terms

101=5x+6

Get x alone on one side by subtracting 6

95=5x

Simplify

19=x

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