Question

If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?

one-fifth (one-fifth x + 5) + 5
One-fifth (5 x minus 25) + 5
StartFraction 1 Over (one-fifth x + 5) EndFraction
5 (one-fifth x + 5) + 5

Answer 1

B. 1/5(5x-25)+5

Explanation:

got it right Edge 2020

Answer 2

The expression used to represent g(x) as inverse of f(x) is
`(1)/(5)(5x-25)+5`

Option B is correct.

Explanation:

We are given:

`f(x)= 5x-25\\g(x)=(1)/(5)x+5`

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that
`g(f(x))=x` is inverse of function

So placing value of f(x) in g(x)

`g(f(x))=(1)/(5)(5x-25)+5`

So, the expression used to represent g(x) as inverse of f(x) is
`(1)/(5)(5x-25)+5`

Option B is correct.

We can also solve to prove that
`g(f(x))=x`

`g(f(x))=(1)/(5)(5x-25)+5\\g(f(x))=(5)/(5)(x-5)+5\\g(f(x))=x-5+5\\g(f(x))=x`