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Given f(x) =x-7 and g(x)= x^2 find f(g(4))

1 Answer

6 votes

Answer:

f(g(x)) = 9

Explanation:

Given f(x) =x-7 and g(x)= x^2 find f(g(4))

To calculate composition, first calculate g(4).

g(4) can be calculated by replacing x with 4 in the equation

g(x) = x^2

g(4) = 4^2 = 16

To calculate f(g(4)), we have to replace x in equation with the value of g(4)

f(x) = x-7

f(g(x)) = g(x) - 7

f(g(x)) = 16 - 7

f(g(x)) = 9

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