Find f(x) and g(x) so that the function can be described as y = f(g(x)).
-$$y = \sqrt { 25 x ^ { 2 } + 3 }$$
A) $f ( x ) = \sqrt { x } , g ( x ) = 25 x ^ { 2 } + 3$
B) $f ( x ) = \sqrt { 25 x ^ { 2 } } , g ( x ) = \sqrt { 3 }$
C) $f ( x ) = 25 x ^ { 2 } + 3 , g ( x ) = \sqrt { x }$
D) $f ( x ) = \sqrt { 25 x + 3 } , g ( x ) = x ^ { 2 }$

Question

Quizplus · Accepted Answer

The correct choice is A because $g(x) = 25x^2 + 3$ represents the inner function that is first applied to x, and then $f(x) = \sqrt{x}$ is the outer function that takes the result of $g(x)$ and applies the square root. This composition $f(g(x))$ matches the given function $y = \sqrt{25x^2 + 3}$.

Find F(x) and G(x) So That the Function Can Be y=25x2+3y = \sqrt { 25 x ^ { 2 } + 3 }y=25x2+3​

Find F(x) and G(x) So That the Function Can Be $y = \sqrt { 25 x ^ { 2 } + 3 }$