Composite Functions

Composite of two function

The process of combination by replacing two function f and g to generate f[g(x)] or g[f(x)]

fg(x) is read as “f composed with g of x”

defined by fg(x) = f [g(x)]

gf(x)

g composed with f of x

fg(x)= f[g(x)] or gf(x)=g[f(x)]

So fg(x) is not equal to gf(x)

function gf maps set P to set R

Input for g(x) is x+1

Output for g(x) is x+1+2

gf(x)=x+3

Substituting the value of the object into a composite function, the image can be obtained

If the value of the image is given, then the value of the object can be determined by solving the equation