perform the indicated operations for the gien functions below

Question

f(x)=2x g(x)=x^2-5 h(x)=x+3 p(x)=x-4

(f+g)(-1) 

(hp)(x)

(hop)(x)

Answer 1

(f + g)(-1) = f(-1) + g(-1) = 2(-1) + (-1)² - 5

                                       = -2 + 1 - 5 = -6

 

(hp)(x) = h(x)p(x) = (x + 3)(x - 4) = x² - 4x + 3x - 12

                                                    = x² - x - 12

 

(hοp)(x) = h(p(x)) = h(x - 4) = (x - 4) + 3

                                            = x - 1