Question

Find f-l. f(x) = 4log (x-7)

Answer 1

The answer is +7. I agree with the person above

Answer 2

Answer:

f⁻¹(x) = $2^{\dfrac{x}{4} }$ + 7

Step-by-step explanation:

The inverse of a function reverses the operations performed by the function  in the question such if f(x) = y, then we have, f⁻¹(y) = x, which reverses the operation of the first function.

The inverse of a function f(x) = 4·㏒₂(x - 7) is found as follows;

We have;

y = 4·㏒₂(x - 7)

We substitute x for y to get;

x = 4·㏒₂(y - 7)  which gives;

x/4 = ㏒₂(y - 7)

$2^{\dfrac{x}{4} }$ = y - 7

y = $2^{\dfrac{x}{4} }$ + 7

Therefore;

f⁻¹(x) = $2^{\dfrac{x}{4} }$ + 7.