Question

HELP PLEASE?!?!?!
Express the following function, f(x) as a composition of two functions f and g.

Answer 1

\[f(x) = \frac{ x^2 }{( x^2 + 4) }\]

Answer 2

well you can use reciprocal of x^2+4 do you know how?

Answer 3

no
normally i would set the binomial = to 0

Answer 4

ok what if i told you your function looks like this a/b is same as a*1/b

reciprocal just means flip it and put a 1 on top.

1/b is reciprocal.

Answer 5

now for the pattern
a/b=a*1/b

you plug in your numbers

x^2/(x^2+4)= x^2* (1/ (x^2+4) )

Answer 6

ok

Answer 7

well it ask to compose it of 2 functions

so f(x)=x^2 and g(x)=(1/ (x^2+4) )

therefore f(x)*g(x)= x^2/(x^2+4)

Unless i could be wrong and they mean

f(g(x))

Answer 8

well i think my teacher would take anything, because he didn't say fog or gof

Answer 9

composite means f o g (x)

Answer 10

that is easy too tho

f(g(x))

let me try it

Answer 11

you got f(x) = x/(x+4)

then g(x)=x^2

then f o g (x)= f(g(x)) = x^2/(x^2+4)

Cuzz you plug in x^2 into ever x in in the f(x) function

f(x) = x/(x+4)
^ ^ plug in x^2