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  4. Let f: R arrow R such that f(x)=3 sin x+4 x-2 π and g(x) is the inverse of f(x) then the value of g(3) is equal to

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Q. Let $f: R \rightarrow R$ such that $f(x)=3 \sin x+4 x-2 \pi$ and $g(x)$ is the inverse of $f(x)$ then the value of $g(3)$ is equal to

Relations and Functions - Part 2

Solution:

$f(x)=3=3 \sin x+4 x-2 \pi$
$x=\frac{\pi}{2}$
$g(3)=\frac{\pi}{2} .$