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