Q30 of 215 Page 3

Mark the correct alternative in each of the following:

Let f(x) = x2 and g(x) = 2x. Then the solution set of the equation fog(x) = gof (x) is


Given that f(x) = x2 and g(x) = 2x.


Also, fog(x) = gof (x)


⇒ f(2x)=g(x2)



⇒ 2x = x2


⇒ x2 – 2x=0


⇒ x(x-2)=0


⇒ x = 0 or x = 2

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