Question

Find (fog)(2).
f(x) = 3x + 2
g(x) = x²
(fog)(2)=

Answer 1

• (f·g)(2) = 14

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Find the composition of the functions f(x) and g(x), which is written as f(g(x)).

Given functions:

• f(x) = 3x + 2,
• g(x) = x² .

Find f(g(x)):

• f(g(x)) = f(x²) = 3(x²) + 2

Evaluate f(g(2)):

• f(g(2)) = 3(2²) + 2 = 3(4) + 2 = 12 + 2 = 14

So, (f·g)(2) = 14.