Composite Function
If function
f:X↦Y
,
and function g:Y↦Z ,
hence, composite function gf:X↦Z
and function g:Y↦Z ,
hence, composite function gf:X↦Z
Example:
If, f:x↦2x+5 and g:x↦x2−1 , find gf(2)
Answer:
f(x)=2x+5f(2)=2(2)+5=9
gf(2)=g[f(2)]=g(9)
g(x)=x2−1gf(2)=g(9)=92−1=80
If, f:x↦2x+5 and g:x↦x2−1 , find gf(2)
Answer:
f(x)=2x+5f(2)=2(2)+5=9
gf(2)=g[f(2)]=g(9)
g(x)=x2−1gf(2)=g(9)=92−1=80