What is the inverse of f(x)=1.5^x+4
Answers
Answer:
Step-by-step explanation:
The inverse function of [tex]f(x) = 1.5^x + 4[/tex] is [tex]f^{-1}(x) = \log1.5(x - 4)[/tex]
In other words, the required answer is [tex]f^{-1}(x) = \log1.5(x - 4)[/tex]
To find the inverse of the function[tex]f(x) = 1.5^x + 4[/tex], we need to swap the roles of x and y and solve for y.
Start with the original function:
[tex]y = 1.5^x + 4[/tex]
Swap x and y:
[tex]x = 1.5^y + 4[/tex]
Solve for y:
Subtract 4 from both sides:
[tex]x - 4 = 1.5^y[/tex]
Take the logarithm (base 1.5) of both sides:
[tex]\log1.5(x - 4) = y[/tex]
Rewrite the equation with y as the subject:
y = log1.5(x - 4)
Therefore, the inverse function of [tex]f(x) = 1.5^x + 4[/tex] is [tex]f^{-1}(x) = \log1.5(x - 4)[/tex]
In other words, the required answer is [tex]f^{-1}(x) = \log1.5(x - 4)[/tex]
Learn more about inverse functions here:
https://brainly.com/question/29141206
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Related Questions
A collection of dimes and nickels is worth $4.45 they are 50 coins in total find how many of each there are
Answers
seven hamburgers and four sodas cost $27.35. Four hamburgers and five sodas cost $18.75
I need to find the equation of each sentence.
WILL MARK BRAINLIEST (or however you spell it)
Answers
Answer:
equations:
7x + 4y = 27.35
4x + 5y = 18.75
Step-by-step explanation:
x = burgers
y = sodas
---------------------------------
7x + 4y = 27.35
4x + 5y = 18.75
what does this equal4x-9+2(12x-8)=31
Answers
Answer:
x = 2
Step-by-step explanation:
x = 2 im to azy to put the steps sorry
1 7/10 - 1 1/2
it has to be a fraction and no links
Answers
17/10 - 3/2
Now we have improper fractions; fractions that have a numerator larger than the denominator
Next we will find the common denominator using LCM but what I personally do is I multiply both sides by the opposite fraction’s denominator, like this:
17 x 2 _ 3 x 10 —-> 34 - 30
10 x 2 2 x 10 20 - 20
Now we have 34/20 - 30/20 and with the help of collecting the common denominator, all we have to do now is subtract 30 from 34, and our answer will be 4/20
**when we have the same number as our denominator we only add or subtract the numerator, depending on what question your teacher asks you to answer
*** sum = addition/adding
difference = subtraction/subtracting/taking away
At first when you subtract you will get 4/20 however answers should always be in reduce /simplified do answer is
1/5
Is it a b c d need help
Answers
Answer:
A
Step-by-step explanation:
The only one going up
Kurt runs diagonally across a rectangular field that has a length of 30 m and a width of 40 m as shown in the figure. What is the distance
that Kurt runs? Place the value in the empty box below.
Figure is not drawn to scale.
DRAG & DROP THE ANSWER
50 m
30 m
40 m
30 m
V
10 m
40 m
y =
Answers
Answer: 50
Step-by-step explanation:
pls help, 'll mark the brainliest. SOS
Answers
Answer:
Which one do you need the answer for
Step-by-step explanation:
Find the volume of this regular solid. 5 yd 4 yd 8 yd
Answers
Answer:
160 yd
Step-by-step explanation:
Volume = L * W * H
V= 5 * 4 * 8
V= 160 yd
what is true about the expression 5 times 1/4
A.It represents the product of a rational and irrational number and is equivalent to a rational number.
B.It represents the product of a rational and irrational number and is equivalent to an irrational number.
C.It represents the product of two rational numbers and is equivalent to a rational number.
D.It represents the product of two rational numbers and is equivalent to an irrational number.
Answers
Answer:
C
Step-by-step explanation:
5 is rational
1/4 is rational
the product of the two is 5/4 which is also rational
One leg of a right triangle is 14 cm longand the hypoteruuse is long. What is the approximate length of the other leg?
Answers
Answer:
14 cm
Step-by-step explanation:
I need help with this
Answers
Answer:
We add up all the numbers:
84 + 72 + 96 + 97 + 75 + 83 + 81 = 588
Since there are 7 numbers we divide by 7
588 divided by 7 = 84 is your mean
Step-by-step explanation:
How to find mean:
Add up the numbers, divide by the many numbers there are and thats how you find your mean.
PLSS HELP ME I NEED HELP NOW PLSS
Answers
Answer:
1. True
2. False
3. True
4. False
5. True
6. False
7. True
8. True
9. True
10. True
Explanation:
Got the answers following triangle classification rules.
Answer:
1) True
2) False
3) True
4) True
5) False
6) False
7) False
8) True
9) True
10) True
These are the answers i guess............
Step-by-step explanation:
2. What is the solution to the equation..
5m − (m + 4) = 2?
f. -1/2
g. 1/2
h. 1
j. 3/2
k. 3
Answers
Answer:
J. 3/2
Step-by-step explanation:
Let's solve your equation step-by-step.
5m−(m+4)=2
Step 1: Simplify both sides of the equation.
5m−(m+4)=2
5m+−1(m+4)=2(Distribute the Negative Sign)
5m+−1m+(−1)(4)=2
5m+−m+−4=2
(5m+−m)+(−4)=2(Combine Like Terms)
4m+−4=2
4m−4=2
Last one for this :)
Answers
Answer:
2/21 :)
Step-by-step explanation:
Answer:
2/21
Step-by-step explanation:
please help :( it doesnt make any sense
Answers
Anyways if that’s the case then:
We know that the sum of all the angles of a triangle add up to 180 degrees.
In this triangle we know that one angle is 55 degrees and the other is 90 degrees, so to find the last angle we do the sum of all the angles and we remove the 2 angles:
180- (55+90)= 35 degrees.
x= 35 degrees
how many 1/2 cups are needed to fill the gap in this prism
A. 2
B. 4
C. 6
D. 8
have a great day!♡
Answers
Answer:
I don't know what prism. once you see this put it in the description of this
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
[tex]y=-\frac{1}{4} x-6[/tex]
Step-by-step explanation:
The slope-intercept form is [tex]y=mx+c[/tex], where m is the slope of the line and c is where the line crosses the [tex]y[/tex]-axis.
To calculate [tex]m[/tex] we can use the formula [tex]m = \frac{dy}{dx}[/tex] where [tex]dy[/tex] is the difference in [tex]y[/tex] between two points and [tex]dx[/tex] is the difference between [tex]x[/tex].
Information we can get from the graph given: [tex]c=-6[/tex]. Since [tex]c[/tex] is the point at which the line crosses the [tex]y[/tex]-axis.
To find [tex]m[/tex] let's get two points from the graph.
Point 1: [tex](4,-7)[/tex]
Point 2: [tex](8,-8)[/tex]
Now use the equation [tex]m = \frac{dy}{dx}[/tex].
[tex]m = \frac{-7 - (-8)}{4-8} = -\frac{1}{4}[/tex].
Now we have [tex]m[/tex] and [tex]c[/tex], let's put them back into the general equation.
[tex]y=-\frac{1}{4} x-6[/tex]
OLEASE HELP WILL MARK THE BRAINLIEST
Answers
Im pretty sure this is correct
I’ve tried so many things but I can’t find the Answer
Answers
Answer:
[tex]let \: that \: be \: \: x \\ 20\% \: of \: x \: is \: 6 \\ \frac{20}{100} \times x = 6 \\ 20x = 600 \\ x = 30[/tex]
30
☞EXPLANATION☜20 percent (calculated percentage %) of what number equals 6? Answer: 30.
Harper is getting a new rug in her bedroom. Her bedroom is in the shape of a rectangle with a length of 9 feet and a width of 14 feet. If the rug cost $1.75 per square foot, how much will it cost to purchase the rug?
Answers
Answer:
D) 220.50
Step-by-step explanation:
9x14 = (9x9)+(9x5) =126 126 x 1.75 (.75x126) + 126 = 220.50
AKA: 9x14 = 126 126 x 1.75 = 220.50
A rectangular swimming pool has a volume of 16,320 cubic feet, a depth of 8 feet, and a length of 85 feet. What is the width of the swimming pool?
a) 24 ft
b) 48 ft
c) 192 ft
d) 2040 ft
Answers
Explanation:
The formula for the volume of a rectangular prism is length x width x height.
To find the missing width, follow this formula:
Volume divided by ( heigth x length)
In this case, it will be:
16,320 divided by ( 8 x 85 ) = 24
MARK ME BRAINLIEST TYSM! Have a nice day/evening!
(please answer quick its pretty easy)
Divide.
−36÷(−4)
Answers
Answer 9
Hope this helps!!
Answer: 9
Steps:
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}[/tex]
[tex]=\frac{36}{4}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{36}{4}[/tex]
=9
Hope This Helps!
Someone help I need answers I’ll give brainliest and like the comment
Answers
Answer:
here u go
Step-by-step explanation:
5cm-
area: 25π
cir:10π
6cm:
area: 36π
cir: 12π
7cm:
area: 14π
cir: 49π
and the last one:
area:6π
cir:9π
Write the equation of the line that is parallel to the line y= -2x+3 and goes through the point (3, -6).
Answers
Answer:
y=-2
Step-by-step explanation:
because it's parallel --> a=-2
therefore we have y=-2x+b
the line goes through the point (3,-6) --> (-2).3+b=-6 --> b=0
Jason is training to run a marathon. His goal for this week is to run a minimum of 42 miles. So far this week, he has already run 18 miles. Which inequality could be used to determine the mean number of miles, m, he would need to run each day for 6 more days to achieve his goal?
Answers
Answer:
6m + 18 ≥ 42
Step-by-step explanation:
6m + 18 ≥ 42
------
No of miles per day=m
Total days=6
Target=42
Finished=18
Inequality
6m+18≥48find the area of a semi circle with radius 12cm give your answer in terms of pi
Answers
Answer:
72pi
Step-by-step explanation:
The formula for the area of a circle is pi*r^2
Since three radius is 12, then it’s pi*12^2
pi*12^2= 144 x pi but that’s the area of a whole circle so divide by 2 and you get:
72pi
Answer:
226.195 cm²
In terms of pi:
A = (π · 12²) ÷ 2
Step-by-step explanation:
A = πr²
A = π · 12²
A = π · 144
A = 452.39
452.39 ÷ 2
226.195
please help asap!!!
Answers
Answer:
A. 0.13.
B. 0.15.
Step-by-step explanation:
For the first problem, subtract 0.87 from 1. You get 0.13.
For the second problem, add up 0.3 and 0.55 to get 0.85. Subtract this from 1 to get 0.15.
Hope this helps :)
Pls someone help i have conferences tomorrow and im failing
Answers
Answer:
y = 2 that sign means equal to so its literally another way to write =
so to graph this inequality you graph 2 on the y axis thats it
Step-by-step explanation:
B
Diagram NOT
accurately drawn
2
489
D
E
A, Band D are points on a circle, centre O.
CDE is a tangent to the circle.
Angle ADO = 48°
Work out the size of angle ABD.
(4 marks)
please help asap ill give brainliest
Answers
Answer:
∠ ABD = 42°
Step-by-step explanation:
∠ ODC = 90° ( angle between tangent and radius )
∠ ADC = 90° - 48° = 42°
The angle between a tangent and a chord is equal to the angle in the alternate segment, that is
∠ ABD = ∠ ADC = 42°
rew wants to build a square sandbox with an area of 324 square feet. What is the total length of wood Drew needs to make the sides of the sandbox?
Answers
Answer: 44
Step-by-step explanation: