If f : R R is defined by f(x) =2x 2
-1. Find the pre-image of 17, 4 and -2
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Answer:
The pre image of 17
2x^2-1 =17
2x^2=18
x^2=18/2
x^2=9
Therefore x= 3 , -3
The pre image of 4
2x^2-1= 4
2x^2=5
x^2 = 5/2
Therefore x= √5/2 , -√5/2
The pre image of -2
2x^2-1=-2
2x^2= -1
x^2 = -1/2
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