Perform the requested operation on the given function.
-$$f ( x ) = \sqrt { 2 x } , g ( x ) = - 5 x + 8$$
Find $( f g ) ( x )$.
A) $- 5 x \sqrt { 2 x } + 8 \sqrt { 2 x }$
B) $- 10 x ^ { 2 } + 16$
C) $- 10 x + 8 \sqrt { 2 x }$
D) $\sqrt { 2 \mathrm { x } } + 40 \mathrm { x }$

Question

Quizplus · Accepted Answer

The operation $(fg)(x)$ means to multiply the functions $f(x)$ and $g(x)$ together. So, $(fg)(x) = f(x) \cdot g(x) = \sqrt{2x} \cdot (-5x + 8) = -5x\sqrt{2x} + 8\sqrt{2x}$.

Perform the Requested Operation on the Given Function f(x)=2x,g(x)=−5x+8f ( x ) = \sqrt { 2 x } , g ( x ) = - 5 x + 8f(x)=2x​,g(x)=−5x+8

Perform the Requested Operation on the Given Function $f ( x ) = \sqrt { 2 x } , g ( x ) = - 5 x + 8$