Consider the functions f (x )equals negative 9 x plus 3 and g (x )equals negative one ninth (x minus 3 ). (a) Find f(g(x)). (b) Find g(f(x)). (c) Determine whether the functions f and g are inverses of each other.

(c) Yes, the functions f and g are inverses of each other.

Step-by-step explanation:

Given the functions:

(a)

(b)

(c) Yes, f and g are the inverse functions of each other.

As per the property of inverse function:

If is the inverse of then:

And here, we have the following as true:

f and g are inverse functions of each other.

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