Question

i need help with my homework PLEASE CHECK WORK WHEN DONENUMBER 9

Answer 1

SOLUTION

(9) Were given

$\begin{gathered} f(x)=2^{\frac{x}{2}}\text{ and } \\ g(x)=\sqrt{x-3} \\ We\text{ want to solve } \\ (g+f)(x) \end{gathered}$

This means

$g(x)+f(x)$

We have

$\begin{gathered} \sqrt{x-3}+2^{\frac{x}{2}} \\ (x-3)^{\frac{1}{2}}+(2^{\frac{1}{2}})^x \\ (x-3)^{\frac{1}{2}}+(\sqrt{2})^x \end{gathered}$

Hence the answer becomes

$(\sqrt{2})^x+(x-3)^{\frac{1}{2}}$