Question

If f(x) = 2x^2 + 3x and g(x) = x - 2, What is (f + g)(2) ?

Answer 1

(f + g)(2)=14

Explanation:

If f(x) = 2x^2 + 3x

g(x) = x - 2

(f + g)(2)

Lets find

(f+g) (x)

We add the 2 functions

(f+g) (x)=2x^2 + 3x + x - 2

Combine like terms

(f+g) (x)=2x^2 + 4x - 2

Now we let x=2

(f+g) (2)=2(2)^2 + 4(2) - 2

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

=8+8-2

=14