Which of the following pairs of functions are inverses of each other?

Option C.

Step-by-step explanation:

To know if two functions are inverse of each other we need to Plug the first function f (x) into the second one g (x) and simplify.  If g[f(x)]=x then f(x) and g(x) are inverses if not, they are not inverses.

The correct option is the C, given that:

f(x) = 5x - 11 and g(x) = (x+11) / 5

Pluggin f(x) into g(x)

g[f(x)]= (5x - 11 + 11)/5 = 5x/5 = x

ANSWER

The correct answer is C

EXPLANATION

If two f(x) and g(x) are inverses of each other, then f(g(x))= g(f(x))=x.

for option A,

for option B,

for option C

for option D

The correct choice is C

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step-by-step explanation: