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NISA [10]
3 years ago
9

Find f(x) and g(x) so that the function can be described as y=f(g(x)) y=(9/x^2)+2

Mathematics
1 answer:
eduard3 years ago
6 0

there are many combinations for it, but we can settle for say


\bf \begin{cases} f(x)=x+2\\[1em] g(x)=\cfrac{9}{x^2}\\[-0.5em] \hrulefill\\ (f\circ g)(x)\implies f(~~g(x)~~) \end{cases}\qquad \qquad f(~~g(x)~~)=[g(x)]+2 \\\\\\ f(~~g(x)~~)=\left[ \cfrac{9}{x^2} \right]+2\implies f(~~g(x)~~)=\cfrac{9}{x^2}+2

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