# evaluate (FoG)^-1(3)

• Jul 9th 2006, 12:59 AM
kwtolley
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.
• Jul 9th 2006, 01:04 AM
CaptainBlack
Quote:

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

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

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

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

RonL
• Jul 9th 2006, 01:08 AM
kwtolley