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Question

If gx=x2+x-2 and 12 gofx=2x2-5x+2, then f(x) is equal to
(a) 2 x-3
(b) 2 x+3
(c) 2 x2+3x+1
(d) 2 x2-3x-1

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Solution

We will solve this problem by the trial-and-error method.
Let us check option (a) first.
If fx = 2x-312gofx = gfx= 12g2x-3= 122x-32+2x-3-2= 124x2+9-12x+2x-3-2= 124x2-10x+4= 2x2-5x+2
The given condition is satisfied by (a).
So, the answer is (a).

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