contestada

WILL MARK BRAINLIEST!!!!
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
f(x)=[tex] \frac{4}{6} [/tex] and g(x)=[tex] \frac{4}{x} [/tex]

Respuesta :

WojtekR

[tex] f(x)=\dfrac{4}{x}\qquad\qquad\qquad g(x)=\dfrac{4}{x}\\\\\\\\f(g(x))=f(\frac{4}{x})=\dfrac{4}{\frac{4}{x}}=4\cdot\dfrac{x}{4}=\boxed{x}\\\\\\\\
g(f(x))=g(\frac{4}{x})=\dfrac{4}{\frac{4}{x}}=4\cdot\dfrac{x}{4}=\boxed{x} [/tex]

so f and g are inverses.

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