Question

Find f(x) and g(x) so that the function can be described as y = f(g(x)).
y= 8/sqareroot of 2x+4
f(x) = 8, g(x) = square root of quantity two x plus four.
f(x) = square root of quantity two x plus four., g(x) = 8
f(x) = eight divided by x., g(x) = 2x + 4
f(x) = eight divided by square root of x., g(x) = 2x + 4

Answer 1

Answer:

The fourth option gives the result.

Step-by-step explanation:

We have to find f(x) and g(x) from options given such that y = f[g(x)] is equivalent to $y = \frac{8}{\sqrt{2x + 4}}$.

Here, the fourth option gives the result.

If $f(x) = \frac{8}{\sqrt{x} }$ and g(x) = 2x + 4, then the composite function $f[g(x)] = \frac{8}{\sqrt{2x + 4}}$

⇒ $y = \frac{8}{\sqrt{2x + 4}}$ ( Answer )