What is the inverse of the function f(x) = 4x + 8? h(x) = x – 2 h(x) = x + 2 h(x) = x – 2 h(x) = x + 2
2 answers:
The inverse of f(x) = 4x + 8 is h(x) = x - 2
Answer:
![y =\frac{1}{4}x - 2](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B1%7D%7B4%7Dx%20-%202)
Step-by-step explanation:
f(x) = 4x + 8
To find inverse function , we replace f(x) by y
y = 4x+8
Now replace x with y and y with x
x = 4y + 8
Now solve for y
Subtract 8 on both sides
x - 8 = 4y
Divide by 4 on both sides
![\frac{x}{4} - \frac{8}{4} =y](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B4%7D%20-%20%5Cfrac%7B8%7D%7B4%7D%20%3Dy)
![y =\frac{1}{4}x - 2](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B1%7D%7B4%7Dx%20-%202)
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