Question

IIIGRAPHS ANDComposition of two functions: AdvancedFor the real-valued functions f(x) =x+2x+5 and g(x)=4x– 13, find the composition fog and specify Its domain using Interval notation.음0/6(1.0) () = 0Ojo (0,0) 0,0)DVD (0,0) (0,0)Domain off.9:Ø8-00Х5?

Answer 1

`\begin{gathered} f(x)=(x+2)/(x+5) \\ g(x)=4x-13 \\ (f\circ g)(x)=((4x-13)+2)/((4x-13)+5) \\ (f\circ g)(x)=(4x-13+2)/(4x-13+5) \\ \\ (f\circ g)(x)=(4x-11)/(4x-8) \\ \\ For\text{ domain} \\ 4x-8\\e0 \\ 4x\\e8 \\ x\\e(8)/(4) \\ x\\e2 \\ The\text{ Domain of }(f\circ g)(x)\text{ is }(-\infty,2)(2,\infty) \end{gathered}`