Question

f 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)?

Answer 1

Answer:

We study if the composition of both functions equals the identity ("x"), that is if

$f(g(x))=x$

Step-by-step explanation:

The composition of the two functions should render 'x" if one is the inverse of the other. That is, we need to find what  $f(g(x))$ renders. Notice as well that the same verification could be done with examining  $g(f(x))$.

Let's work with $f(g(x))$ :

$f(g(x))=f(\frac{1}{5} x+5)=5\,(\frac{1}{5} x+5)-25= x+25-25=x$

So we see that the composition of both functions indeed render "x", and that way we have verified that one is the the inverse of the other.

Answer 2

Answer:

B. One-fifth (5 x minus 25) + 5

Step-by-step explanation:

Just got it right on the test.