Question

For f(x) = 2x+1 and g(x) = x^2-7, find (f-g)(x)

Answer 1

(f-g)(x) = - x² + 2x + 8

Explanation:

f(x) = 2x+1

g(x) = x² - 7

To find (f-g)(x) subtract g(x) from f(x)

That's

(f-g)(x) = 2x + 1 - ( x² - 7)

Remove the bracket

We have

(f-g)(x) = 2x + 1 - x² + 7

Simplify

We have the final answer as

(f-g)(x) = - x² + 2x + 8

Hope this helps you