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If f and g are inverses of each other, what are g(f(x)) and f(g(x)) equal to?f(g(x)) ≠ g(f(x))f(g(x)) = x and g(f(x)) = -xf(g(x)) = g(f(x)) = 7xf(g(x)) = g(f(x)) = x

Answer :

Explanation

If two functions f(x) and g(x) are inverses of each other, then f(g(x)) = x and g(f(x)) = x.

So, we have:

[tex]\begin{gathered} f\mleft(g\mleft(x\mright)\mright)=x=g\mleft(f\mleft(x\mright)\mright) \\ f\mleft(g\mleft(x\mright)\mright)=g\left(f\mleft(x\mright)\right)=x \end{gathered}[/tex]Answer[tex]f\mleft(g\mleft(x\mright)\mright)=g\left(f\mleft(x\mright)\right)=x[/tex]

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