Find the indicated function value

Question

f(x)=2x²+3, g(x)=3x²-5x-2 

Find (f+g)(2)

Answer 1

f(x) = 2x² + 3

g(x) = 3x² - 5x - 2

 

Add f(x) and g(x):

 

(f+g)(x) = (2x² + 3) + (3x² - 5x - 2)

 

Combine like terms:

 

(f+g)(x) = 5x² - 5x + 1

 

Evaluate at x = 2:

 

(f+g)(2) = 5*(2)² - 5*(2) + 1

 

     =  5*(4) - 5*2 + 1

 

     = 20 - 10 + 1

 

     = 11