Math  /  Algebra

QuestionCheck if f(x)=x+0f(x)=x+0 and g(x)=x+18g(x)=x+18 are inverses by finding (fg)(x)(f \circ g)(x) and (gf)(x)(g \circ f)(x).

Studdy Solution
Now, we compare the results of (fg)(x)(f \circ g)(x) and (gf)(x)(g \circ f)(x) with xx. Neither of them equals to xx. Therefore, f(x)f(x) and g(x)g(x) are not inverse functions.
Thus, g(x)g(x) is not the inverse function of f(x)f(x).

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