F(x) = X + 2, G(x) = X – 4. Find (f G)(x) = ? [Solved] - Cuemath

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We will be using the concept of functions to find this.

Answer: If f(x) = x + 2, g(x) = x – 4, then (f g)(x) = x2 - 2x - 8.

Let's solve this step by step.

Explanation:

Given functions f(x) = x + 2, g(x) = x – 4.

(f g)(x) = f(x) × g(x)

(f g)(x) = (x + 2) × (x - 4)

(f g)(x) = x2 + 2x - 4x - 8

(f g)(x) = x2 - 2x - 8

Hence, if f(x) = x + 2, g(x) = x – 4, then (f g)(x) = x2 - 2x - 8.

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