Let f(x)=2/x and g(x)=6(sqrt x). Find (a) (f+g)(x); (b) (f/g)(x); (c) (*g)(x); and (d) (g*f)(x).

Question

1. * is multiply in my way of saying it

Answer 1

f(x) = 2/x and g(x) = 6sqrt(x)

a. (f + g)(x) = f(x) + g(x) = 2/x + 6sqrt(x)

b. (f/g)(x) = f(x) / g(x) = 2/x/6sqrt(x) = 2/(6*x*sqrt(x))

c. (f*g)(x) = f(x) * g(x) = 2/x * 6sqrt(x) = 12sqrt(x)/x

d. (g*f)(x) = g(x) * f(x) = 6sqrt(x) * 2/x = 12sqrt(x)/x