contestada

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?

IIIGRAPHS ANDComposition of two functions AdvancedFor the realvalued functions fx x2x5 and gx4x 13 find the composition fog and specify Its domain using Interva class=

Respuesta :

[tex]\begin{gathered} f(x)=\frac{x+2}{x+5} \\ g(x)=4x-13 \\ (f\circ g)(x)=\frac{(4x-13)+2}{(4x-13)+5} \\ (f\circ g)(x)=\frac{4x-13+2}{4x-13+5} \\ \\ (f\circ g)(x)=\frac{4x-11}{4x-8} \\ \\ For\text{ domain} \\ 4x-8\ne0 \\ 4x\ne8 \\ x\ne\frac{8}{4} \\ x\ne2 \\ The\text{ Domain of }(f\circ g)(x)\text{ is }(-\infty,2)(2,\infty) \end{gathered}[/tex]

Otras preguntas