Math  /  Algebra

QuestionDetermine whether ff and gg are inverses by finding and simplifying f(g(x))f(g(x)) and g(f(x))g(f(x)). f(x)=3x4g(x)=x3+4\begin{array}{l} f(x)=3 x-4 \\ g(x)=\frac{x}{3}+4 \end{array} f(g(x))=x+8f(g(x))=x+8 g(f(x))=3x8g(f(x))=3 x-8
Are ff and gg inverses? Yes, they are inverses No, they are not inverses

Studdy Solution
Since neither f(g(x))=x f(g(x)) = x nor g(f(x))=x g(f(x)) = x , f f and g g are not inverses of each other.
The answer is: No, they are not inverses.

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