Question

Function Operations Use the given functions to perform the indicated operations. f(x) = 4x +1 g(x) = 2x - 3 h(x) = 3x - 5 1. f(x) + g(x) 2. f(x)-h(x) 3. f(x) •h(x) f(x) State Domain Restriction g(x) 5. (gof)(x) 6. (g(h(x)) 7. g(x)-h(x) 8. f(x) g(x) 9. (hof)(2)

Answer 1

`\begin{gathered} f(x)=4x+1 \\ g(x)=2x-3 \\ h(x)=3x-5 \\ \\ 1.f(x)+g(x) \\ 4x+1+2x-3 \\ 6x-2 \\ \\ 2.f(x)-h(x) \\ 4x+1-(3x-5) \\ 4x+1-3x+5 \\ 2x+6 \end{gathered}`