Question

F(x) = 2x² + 1 and g(x)=x2-7, find (f- g)(x)

Answer 1

Hello!

`\large\boxed{(f - g)(x) = x^2 + 8}`

To calculate (f - g)(x), we simply subtract g(x) from f(x).

We are given that:
f(x) = 2x² + 1

g(x) = x² - 7

Subtract g(x) from f(x):

(f - g)(x) = 2x² + 1 - (x² - 7)

Distribute the negative sign. Remember, (-) times (-) is (+).

(f - g)(x) = 2x² + 1 - x² + 7

Combine like terms and solve.

(f - g)(x) = 2x² - x² + 1 + 7

(f - g)(x) = x² + 8