Find the set of values of x for which the functions f(x) = 3x2 – 1 a – InterviewSolution

InterviewSolution

1.

Find the set of values of x for which the functions f(x) = 3x2 – 1 and g(x) = 3 + x are equal.

Answer»

f(x) = 3x²-1;

g(x) = 3+x

For f(x) = g(x)

3x² -1 = 3+x

3x²-x-4 = 0

(3x-4)(x+1) = 0

3x-4 = 0 or x+1 = 0

x = \(\frac{4}{3}\), 1

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