Given:
[tex]f(x)=4x-7[/tex]
[tex]g(x)=4x[/tex]
To find:
The expression for f(f(x)).
Solution:
We need to find f(f(x)).
[tex]f(f(x))=f(4x-7)[/tex] [tex][\because f(x)=4x-7][/tex]
[tex]f(f(x))=4(4x-7)-7[/tex] [tex][\because f(x)=4x-7][/tex]
Using distributive property, we get
[tex]f(f(x))=4(4x)+4(-7)-7[/tex]
[tex]f(f(x))=16x-28-7[/tex]
[tex]f(f(x))=16x-35[/tex]
Therefore, the expression for f(f(x)) is [tex]f(f(x))=16x-35[/tex].
