Question

If f(x) = 2X - X-6 and g(x) = x2 - 4, find Rx) = g(x).

Answer 1

x = -1 and 2

Explanation:

If f(x) = 2X ^2- X-6 and g(x) = x2 - 4, we are to find x if f(x) = g(x)

2X ^2- X-6 = x^2 - 4,

Collect like terms

2x²-x²-x-6+4= 0

x²-x-2 = 0

Factorize;

x²-2x+x-2 = 0

x(x-2)+1(x-2) = 0

(x+1)(x-2) = 0

x+1 = 0 and x-2 = 0

x = -1 and 2

Hence the value of x are -1 and 2