Question

composition of functions, finding f(x)

Answer 1

ok so its f(g(x))

so given g(x) which is sqrt x and f(g(x)) is absolute value of x what is f(x)?

Answer 2

i mean i know that sqrt x will also equal a positive number, like the abs value but how does sqrt x become abs value of x when imputed into another equation ( f(x))

Answer 3

g(x)=sqrt(x)
f(g(x))=abs(x)
What can f(x) be, say

if g(x)=2, then f(g(x))=\(f(2)=abs(4)=4\)
if g(x)=-2, then f(g(x))=\(f(-2)=abs(4)=4\)
if g(x)=5, then f(g(x))=\(f(5)=abs(25)=25\)
if g(x)=-2, then f(g(x))=\(f(-5)=abs(25)=25\)
Can you figure out what f(x) should be in order to get the above results?