for ( f(x)=sqrt{x} ) and ( g(x)=x - 6 ), find the following functions.\na. ( (f circ g)(x) ); b. ( (g circ…

for ( f(x)=sqrt{x} ) and ( g(x)=x - 6 ), find the following functions.\na. ( (f circ g)(x) ); b. ( (g circ f)(x) ); c. ( (f circ g)(7) ); d. ( (g circ f)(7) )\na. ( (f circ g)(x)=sqrt{x - 6} )\n(simplify your answer.)\nb. ( (g circ f)(x)=sqrt{x}-6 )\n(simplify your answer.)\nc. ( (f circ g)(7)=1 )\n(simplify your answer.)\nd. ( (g circ f)(7)=square )\n(simplify your answer.)

for ( f(x)=sqrt{x} ) and ( g(x)=x - 6 ), find the following functions.\na. ( (f circ g)(x) ); b. ( (g circ f)(x) ); c. ( (f circ g)(7) ); d. ( (g circ f)(7) )\na. ( (f circ g)(x)=sqrt{x - 6} )\n(simplify your answer.)\nb. ( (g circ f)(x)=sqrt{x}-6 )\n(simplify your answer.)\nc. ( (f circ g)(7)=1 )\n(simplify your answer.)\nd. ( (g circ f)(7)=square )\n(simplify your answer.)

Answer

Explanation:

Step1: Substitute (x = 7) into ((g\circ f)(x))

Since ((g\circ f)(x)=\sqrt{x}-6), then ((g\circ f)(7)=\sqrt{7}-6).

Step2: Calculate the value

(\sqrt{7}\approx2.65), so (\sqrt{7}-6\approx2.65 - 6=-3.35).

Answer:

(-3.35)