Question

Find the values for which f(x)=g(x)
3x^2+5x-6=x^2-3

Answer 1

3x^2+5x-6=x^2-3

3x²+5x-6-x²+3=0

2x²+5x-3=0

per factorization

2x²+6x-x-3=0

2x(x+3)-1(x+3)=0

(x+3)(2x-1)=0

x+3=0⇔x=-3

2x-1=0⇔2x=1⇔x=1/2

for x =-3 or 1/2 f(x)=g(x)

Explanation: