Question

SOMEONE PLEASE HELP!!! Let f(x) =the square root of x, g(x) = x + 8 and h(x) = 9/x. Find the domain of the following function then simplify the expression. (fh)(x)

Answer 1

\(\bf f(x) = \sqrt{x}\qquad g(x)=x+8 \qquad h(x)=\cfrac{9}{x}\\\quad \\
(fh)(x) \implies f(x)\times h(x) \implies \sqrt{x}\times \cfrac{9}{x} \implies \cfrac{9\sqrt{x}}{x}\)

the domain will be whatever values for "x" that DO NOT MAKE THE RADICAL to a negative number
OR MAKE THE DENOMINATOR to 0

Answer 2

thank you!!

Answer 3

yw