Question

Find f+g, f-g, fg, and f/g. Determine the domain for each function. f(x)=sqrt(x) g(x)=x+15

Answer 1

f+g = sqrt(x) + x + 15.
domain: [0, inf )
range: [15, inf )

f-g = sqrt(x) - x -15
domain: [0, inf )
range: (-inf, -15]

Answer 2

fg = sqrt(x)*(x+15)
domain: [0, inf )
range: [0, inf )

f/g = sqrt(x)/(x+15)
domain: [0, inf )
range: [0, sqrt(15)/30 )