To find f( g(3) ) , first let's find g(3) .
g(x) = x - 2_____ | Plug in 3 for x |
g(3) = 3 - 2 | Simplify. |
g(3) = 1 |
Since g(3) = 1 , we can substitute 1 in for g(3) .
f( g(3) ) = f( 1 )
Now we just have to find f(1) .
f(x) = 2x2 - 3_____ | Plug in 1 for x |
f(1) = 2(1)2 - 3 | Simplify. |
f(1) = 2(1) - 3 | |
f(1) = 2 - 3 | |
f(1) = -1 |
So....
f( g(3) ) = f(1) = -1
f( g(3) ) = -1