If h(x) = (f o g)(x) and h(x) = sqrt(x+5), find g(x) if f(x) = sqrt(x+2)

we are given



we can write it as





now, we can replace x as g(x)







now, we can equate them



now, we can solve for g(x)

Take square both sides





now, we can solve for g(x)

Subtract both sides by 2





Answer

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