Math  /  Algebra

QuestionCheck if f(x)=5x+9f(x)=5x+9 and g(x)=x95g(x)=\frac{x-9}{5} are inverse functions by finding (fg)(x)(f \circ g)(x) and (gf)(x)(g \circ f)(x).

Studdy Solution
Since both (fg)(x)=x(f \circ g)(x) = x and (gf)(x)=x(g \circ f)(x) = x, we can conclude that f(x)f(x) and g(x)g(x) are inverse functions.
Thus, g(x)g(x) is the inverse function of f(x)f(x).

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