Learn If Fx X 2 Gx X 4 Find F Gx

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# If f(x) = x + 2, g(x) = x – 4. Find (f g)(x) = ?

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) = x^{2} - 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) = x^{2} + 2x - 4x - 8

(f g)(x) = x^{2} - 2x - 8

### Hence, if f(x) = x + 2, g(x) = x – 4, then (f g)(x) = x^{2} - 2x - 8.

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