Question

using the function f and g.find fog and g of.check whether fog=gof.
f(x)=x-6,g(x)=x2​

Answer 1

Answer:

fog (x)= 2x^2-4x -3

and g o f(x)=(2x-3(2x-5)

Step-by-step explanation:

f(x)=2x-3

g(x)=x^2-2x

f(g(x))=f(x^2-2x)=2(x^2-2x)-3

=2x^2-4x-3

f(g(x))=f(2x-3)^2-2(2x-3)

=(2x-3)(2x-3-2)

=(2x-3)(2x-5)

f o g(x) ≠ g o f(x)