Question

If f(x) = x2 – 2x, g(x) = 2x + 3 and fog'(x) = 3, then find the value of x.
Solution:​

Answer 1

Step-by-step explanation:

f(x)=x²-2x g(x)=2x+3

f(g(x))=3...... given

f(2x+3)=3

(2x+3)²-2(2x+3)=3

4x²+12x+9-4x-6=3

4x²+8x+9-6-3=0

4x²+8x=0

4x(x+2)=0

x=0 or x= -2