Find the value for the function.
-Find f( $f ( 2 x ) \text { when } f ( x ) = \sqrt { 5 x ^ { 2 } + 9 x }$
A) $2 \sqrt { 5 x ^ { 2 } + 9 x }$
B) $\sqrt { 10 x ^ { 2 } + 18 x }$
C) $\sqrt { 20 x ^ { 2 } + 18 x }$
D) $\sqrt { 10 x ^ { 2 } + 36 x }$

Question

Find the value for the function.
-Find f( $f ( 2 x ) \text { when } f ( x ) = \sqrt { 5 x ^ { 2 } + 9 x }$ 
A) $2 \sqrt { 5 x ^ { 2 } + 9 x }$
B) $\sqrt { 10 x ^ { 2 } + 18 x }$
C) $\sqrt { 20 x ^ { 2 } + 18 x }$
D) $\sqrt { 10 x ^ { 2 } + 36 x }$

Quizplus · Accepted Answer

To find $f(f(2x))$, first find $f(2x)$, which is $\sqrt{5(2x)^2 + 9(2x)} = \sqrt{20x^2 + 18x}$. Then, substitute this expression back into $f(x)$ to get $f(\sqrt{20x^2 + 18x})$, which simplifies directly to $\sqrt{20x^2 + 18x}$ because it's already in the form of the function's output.

Find the Value for the Function f(2x) when f(x)=5x2+9xf ( 2 x ) \text { when } f ( x ) = \sqrt { 5 x ^ { 2 } + 9 x }f(2x) when f(x)=5x2+9x​

Find the Value for the Function $f ( 2 x ) \text { when } f ( x ) = \sqrt { 5 x ^ { 2 } + 9 x }$