The solutions are S={−1,2}
Explanation:
f(x)=x2+3x−5
g(x)=2x−3
f(x)=g(x)
x2+3x−5=2x−3
x2−x−2=0
We can solve this quadratic equation by factorization
(x+1)(x−2)=0
x−1=0, ⇒, x=−1
x−2=0, ⇒, x=2
