PLZ HELP: Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in th

Question

3 years ago

15

e box.

1 answer:

Sunny_sXe [5.5K] · Answer 1 · 2022-02-24T23:24:37+03:00

Answer:

see explanation

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = $\frac{1}{2}$ x + 4 ( multiply through by 2 to clear the fraction )

2y = x + 8 ( subtract 8 from both sides )

2y - 8 = x

Change y back into terms of x with x = $f^{-1}$ (x) , then

$f^{-1}$ (x ) = 2x - 8

$f^{-1}$ (4) = 2(4) - 8 = 8 - 8 = 0