Find the composit function (f x g)

Question

For f(x)=3x²+8 and g(x)=4x+3, find the composite function of (f x g)

 

Answer 1

Gates,

 

A better way to write the composite is:

 

f(g(x))

 

That means that wherever you see an x in f(x), replace it with the function g(x):

 

f(g(x)) = 3(4x + 3)² + 8

 

= 3(16x² + 24x + 9) + 8

 

= 48x² + 72x + 35