If f of x is equal to 5 x minus 25 and g of x is equal to 1 fifth x plus 5 , which expression could be used to verify g of x is the inverse of f of x ?

To verify that g is the inverse of f, substitute f(x) into g(x) and check whether the result simplifies to x. Since g(x) = 1/5 x + 5, this substitution is 1/5(5x − 25) + 5, which is choice C. It simplifies to x − 5 + 5 = x.

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