Answer:
Third option is correct.
Step-by-step explanation:
The given table is
x f(x)
–6 1
–3 2
2 5
5 3
8 0
If the coordinates of a function f(x) is defined as (x,y), then the coordinates of inverse of f(x) is defined as (y,x).
![[\because g(x)=(y,x)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%28x%29%3D%28y%2Cx%29%5D)
![[\because f(x)=(x,y)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3D%28x%2Cy%29%5D)
If g(x) is the inverse of f(x), then the value of f(g(y)) is y.
It is given that g(x) is the inverse of f(x), then the value of f(g(2)) is 2.
Therefore third option is correct.
Answer:
sum of two even numbers will always be even. conjecture just means to make a generalization based on patterns
Slope formula -- y1-y2 over x1 - x2 = -5