Question

If f(x)=5x-25 and g(x) = 1/5x+5 which expression could be used to verify g(×) is the inverse of f(×)

Answer 1

The expression could be used to verify g(x) is the inverse of f(x) is letter b which is 1/5(5x-25)+5

Explanation:

Answer 2

Hence, g(x) is inverse of f(x)

Explanation:

The provided function are f(x)=5x-25 and
`g(x)=(1)/(5)x+5`

To check g(x) is the inverse of f(x)

Plug the formula for g(x) into every instance of "x" in the formula for f (x):

(fog)(x) = f(g(x))

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

= x+25-25

= x

Now, plug the formula for f (x) into every instance of "x" in the formula for g(x) :

(gof)(x) = g(f(x))

=
`(1)/(5)x+5`

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

= x - 5 + 5

= x

Both ways we get "x"

So, both functions are inverse of each other.

Hence, g(x) is inverse of f(x) .