Math  /  Algebra

Question(a) f(x)=6x,x0f(x)=\frac{6}{x}, x \neq 0 g(x)=6x,x0f(g(x))=g(f(x))=\begin{array}{l} g(x)=\frac{6}{x}, x \neq 0 \\ f(g(x))=\square \\ g(f(x))=\square \end{array} ff and gg are inverses of each other ff and gg are not inverses of each other (b) f(x)=x+4f(x)=x+4 g(x)=x+4f(g(x))=g(f(x))=\begin{array}{l} g(x)=-x+4 \\ f(g(x))=\square \\ g(f(x))=\square \end{array} ff and gg are inverses of each other ff and gg are not inverses of each othe

Studdy Solution
Since f(g(x))x f(g(x)) \neq x and g(f(x))x g(f(x)) \neq x , f f and g g are not inverses of each other.
(a) f f and g g are inverses of each other. (b) f f and g g are not inverses of each other.

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