Given f(x) = x^2 + 4 and g(x) = sqrt (x – 4), what is fog(3)?

Expert Answers

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We are given the functions f(x) = x^2 + 4 and g(x) = sqrt(x- 4)

fog(x) = f (g(x)) = f (sqrt (x- 4))

=> (sqrt (x – 4)) ^2 + 4

=> (x – 4) + 4

=> x

Therefore fog (3) = 3.

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