What is the inverse of the function f(x) = 4x + 8? h(x) = one-quarterx – 2 h(x) = one-quarterx + 2 h(x) = one-halfx – 2 h(x) = one-halfx + 2

Question

asked Jun 24, 2020 175k views

2 Answers

Jon Sagara · Answer 1 · 2020-07-01T09:18:59+0000

Answer: FIRST OPTION.

Explanation:

Given the following function:

f(x)= 4x + 8

Follow this steps in order to find its inverse:

1. Rewrite the function with
y=f(x) :

y= 4x + 8

2. Solve for "x":

$y-8= 4x\\\\x=(y-8)/(4)\\\\x=(y)/(4)-2$

3. Now you must exchange the variables:

y=(x)/(4)-2

4. And finally, rewrite the function with
h(x)=y :

h(x)=(x)/(4)-2

Therefore, the inverse function is
h(x)=(x)/(4)-2