Given the functions, f (x) = 3x^2-7 and g (x) = x^3+1 evaluate f (g (2))

Question

Kayley Davidson

Mathematics

28 August, 06:10

Given the functions, f (x) = 3x^2-7 and g (x) = x^3+1 evaluate f (g (2))

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Answers (1)

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Elsa Bowers · Answer 1

One way of approaching this problem is to evaluate g (2). Since g (x) = x^3+1, g (2) = 2^3+1 = 9. Next, let this '9' be the input to f (x):

f (x) = 3x^2-7 becomes f (9) = 3 (9) ^2-7, or 3 (81) - 7, or 243 - 7, or 236 (answer).