Suppose that the functions g and h are defined for all real numbers x as follows. g(x)=x+3 h(x)=2x^2 Write the expressions for : (g-h)(x) and (g+h)(x) and eval

Question

Suppose that the functions g and h are defined for all real numbers x as follows.

g(x)=x+3

h(x)=2x^2

Write the expressions for :

(g-h)(x)

and 

(g+h)(x)

and evaluate (g*h)(-3)

 

Answer 1

(g-h)(x) = x+3-2x²

(g+h)(x) = x+ 3 +2x²

 

to evaluate, replace x by -3 and compute, carefully.