Question

Two functions f(x) = 3x2 - 2x + 5 and g(x) = 2x2 + 3x - 1
are given. Find the values of x for which f(x) = g(x).​

Answer 1

Answer:

x= 3 or x= 2

Step-by-step explanation:

f(x) = 3x² - 2x + 5

g(x) = 2x² + 3x - 1

given,

f(x) = g(x)

putting the value of f(x) & g(x)

3x² - 2x + 5 = 2x² + 3x - 1

x² - 5x + 6 = 0

x² - 3x - 2x + 6 = 0

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

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

x-3 = 0 or x-2 = 0

x = 3 or x = 2

Hope it helps...

It was pleasure answering you...