Question

What is the inverse of f(x) = (1/3)x+ 2?3h(x) = x+23h(x) = ¹ x - 23h(x) = 3x - 2h(x) = 3x - 6

Answer 1

Answer:

To find the inverse of f(x)=(1/3)x+2

Explanation:

First step, Substitute f(x)=y, we get

$y=\frac{1}{3}x+2$

Second step, change the variable x to y and y to x, we get,

$x=\frac{1}{3}y+2$

Solve for y, we get

$x-2=\frac{1}{3}y$$y=3x-6$

y is the required inverse function.

Consider y=h(x)

$h(x)=3x-6$

Answer is:

$h(x)=3x-6$