Question

Let f and g be the functions defined by f(x)= 2x+3 g(x)= 3x+2 then composition of f and g is

Answer 1

The composition of two functions f and g is the new function we get by performing g first, and

then performing f:

$f\circ g(x)=f(g(x))=f(3x+2)=\\ =2\cdot(3x+2)+3=2\cdot3x+2\cdot2+3=\\ =6x+7.$