Given f(x) and g(x) below, find:

Question

(a) f + g (b) f – g (c) f*g (d) f/g
Please show all of your work.
f(x) = x + 5
g(x) = 5x^2+15x-3

Answer 1

just substitute f and g as needed

f(x) + g(x) = (x+5) + (5x^2 + 15x - 3)
= 5x^2 + 16x + 2

f(x) + g(x) = (x+5) - (5x^2 + 15x - 3)
= -5x^2 - 14x + 8

f(x) * g(x) = (x+5) * (5x^2 + 15x - 3)
= 5x^3 + 20x^2 + 72x - 15

f(x) + g(x) = (x+5) / (5x^2 + 15x - 3)

Answer 2

perils of copy/paste:

2nd and 4th lines should read f(x)-g(x) and f(x)/g(x)