If f : R → R and g : R → R are given by f(x) = 3x + 1 and g(x) = – InterviewSolution

InterviewSolution

1.

If f : R → R and g : R → R are given by f(x) = 3x + 1 and g(x) = x2 + 2Find fog(2).

Answer»

fog(x) = f(g(x)) = f(x² + 2)

= 3(x² + 2) + 1 = 3x² + 6 + 1

⇒ fog(x) = 3x² + 7

∴ fog(2) = 3 × 2² + 7

= 12 + 7 = 19

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