Question

Let f(x)=5x+12.Find f-^1(x) A.12x+5 B.1/5x+12 C.5/x-12 D.x-12/5

Answer 1

`f(x)=5x+12\\\\ y=5x+12\\ 5x=y-12\\ x=(y-12)/(5)\\\\ f^(-1)(x)=(x-12)/(5)`

Answer 2

For this case we have the following function:

`f (x) = 5x + 12`
Rewriting the function we have:

`y = 5x + 12`
From here, we clear the value of x.
We have then:

`5x = y-12`

`x = (y-12)/(5)`
Then, we return the change of variables.
We have then:

`y = (x-12)/(5)`
Rewriting, we have that the inverse function is:

`f(x)^(-1)=(x-12)/(5)`
Answer:
D.x-12/5