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

A1/5(1/5x)+5

B1/5(5x-25)+5

C(1/5x+5)

D5(1/5x+5)+5

Verified Answer :

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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

The required function from the given options will be 1/5(5x-25)+5: Option B is correct.

Given the functions f(x)=5x-25 and g(x)=1/5x+5, in order to find which expression to be used to verify that they are inverse of each other we will find the composite function g(f(x))

Given the functions

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

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

Note that the function f(x) was directly substituted as variable x in g(x)

Hence the required function from the given options will be 1/5(5x-25)+5

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