Question

Find f(x) and g(x) so that the function can be described as y = f(g(x)).

y = Four divided by x squared. + 9

f(x) = x + 9, g(x) = Four divided by x squared.
f(x) = x, g(x) = Four divided by x. + 9
f(x) = One divided by x., g(x) = Four divided by x. + 9
f(x) = Four divided by x squared., g(x) = 9

Answer 1

Answer:

Listed below

Step-by-step explanation:

This is a function composition excercise. The idea is to sustitute the value of G(x) in the X's value of the other function.

a) $f(x)=x+9$ and $g(x)=\frac{4}{x^{2} }$

So we replace g(x) on the X of the f(x) function and we get:

$f(g(x))=\frac{4}{x^{2} } +9$

b) We do the same on this excercise:

$f(x)=x$ and $g(x)[tex]f(g(x))=\frac{4}{x+9}$[/tex]

We replace and we get:

c) And the same on this one:

$f(x)=\frac{1}{x}$ and $g(x)=\frac{4}{x+9}$

We replace and we get:

$f(g(x))=\frac{1}{\frac{4}{x+9} } = 1: \frac{4}{x+9} =1.\frac{x+9}{4} =\frac{x+9}{4}$

d) Exactly the same on this excercise:

$f(x)=\frac{4}{x^{2} }$ and $g(x)=9$

We replace:

$f(g(x))=\frac{4}{9^{2} } = \frac{4}{81}$

Answer 2

Answer:

im pretty sure its A