Question

The functions f(x)=x2−2x−4 and g(x)=45x−2 are shown on the coordinate plane below.



Select all answer choices that best represent solutions to the equation f(x)=g(x).

1. x=3.4x is equal to 3 point 4

2. x=−1.9x is equal to negative 1 point 9

3. x=−0.6x is equal to negative 0 point 6

4. x=2.5x is equal to 2 point 5

5. x=−1.2

Answer 1

x^2 - 2x - 4 = 45x - 2
x^2 - 47x - 2 = 0
x = (47±√2217)/2

since √2217 ≈ 47, you basically have
(47±47)/2 = 47 or 0
clearly you have a typo. I suspect you meant

x^2 - 2x - 4 = 4/5 x - 2
x^2 - 2.8x - 2 = 0
now solve that to get your answer.