Use fxx4 and gxx5 to find the following simplify your answer

Use f(x)=x+4 and g(x)=x+5 to find the following:

(simplify your answers)

a) (f+g)(x)=

b) (f-g)(x)=

c) (fg)(x)=

d) (f/g)(x)=

f(x) = x+4

g(x) = x+5

a) (f+g)(x) = f(x) + g(x)

(f+g)(x) = x+4+x+5 = 2x + 9

b) (f-g)(x) = f(x) - g(x)

(f-g)(x) = x+4 - (x+5) = x+4 -x - 5 = -1

c) (fg)(x) = f(x)*g(x) = (x+4)(x+5) = x^2 +4x+5x+20 = x^2 +9x + 20

d) (f/g)(x) = f(x) / g(x) = (x+4) / (x+5)