Question

If f(x) =2ײ+2 and g(x) =x² -1, find (f-g) (x)

Answer 1

`\boxed {(f-g)(x) = x^(2)+3}`

Explanation:

Given :

• f(x) = 2x² + 2
• g(x) = x² - 1

Now, this problem can be used using a simple formula.

`\fbox {(f - g)(x) = f(x) - g(x)}`

Let's solve.

• (f - g)(x) = 2x² + 2 - (x² - 1)
• (f - g)(x) = 2x² - x² + 2 + 1
• (f - g)(x) = x² + 3

∴ The answer will be x² + 3.