Determine if the two functions f and g are inverses of each other algebraically. if not, why not? f(x)=3/x-5 ; g(x)= 3+5x/x a. no, ( f o g ) (x)= 3/5x-3 b. no, (f o g ) (x) =- 3/5x-3 c. yes

The given functions are

First we find fog(x)= f(g(x))

So we need to substitute the value of g(x) for x in f(x), that is

Now we need to check the value of gof(x)

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

So we need to substitute the value of f(x) in g(x), that is

And since

So the functions are inverse of each other .

Correct option is C .

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step-by-step explanation: