Thread: evaluate (FoG)^-1(3)

From the information in the table providing values of f(x) and g(x), evalute (FoG)^-1(3).

Table:

x 1 2 3 4 5
f(x) 5 3 5 1 2
g(x) 4 5 1 3 2

My answer is 4, but not sure, thanks for any help given.

Originally Posted by kwtolley

From the information in the table providing values of f(x) and g(x), evalute (FoG)^-1(3).

Table:

x 1 2 3 4 5
f(x) 5 3 5 1 2
g(x) 4 5 1 3 2

My answer is 4, but not sure, thanks for any help given.

If $\displaystyle x=(f\circ g)^{-1}(3)$, then $\displaystyle (f\circ g)(x)=3$, or:

$\displaystyle
f(g(x))=3
$,

$\displaystyle g(x)=f^{-1}(3)=2$

$\displaystyle x=g^{-1}(2)=5$.

RonL

thanks I thought I was wrong.