For the given functions f and g, find the composition.
-$$f ( x ) = \sqrt { x + 3 } ; g ( x ) = 8 x - 7$$
Find $( f \circ g ) ( x )$.
A) $8 \sqrt { x - 4 }$
B) $2 \sqrt { 2 x - 1 }$
C) $2 \sqrt { 2 x + 1 }$
D) $8 \sqrt { x + 3 } - 7$

Question

Quizplus · Accepted Answer

The composition $(f \circ g)(x)$ means applying $g$ first, then $f$. So, we first apply $g(x) = 8x - 7$, then apply $f$ to the result: $f(g(x)) = \sqrt{8x - 7 + 3} = \sqrt{8x - 4} = \sqrt{4(2x - 1)} = 2\sqrt{2x - 1}$.

For the Given Functions F and G, Find the Composition f(x)=x+3;g(x)=8x−7f ( x ) = \sqrt { x + 3 } ; g ( x ) = 8 x - 7f(x)=x+3​;g(x)=8x−7

For the Given Functions F and G, Find the Composition $f ( x ) = \sqrt { x + 3 } ; g ( x ) = 8 x - 7$