Afunction satisfies g(1) = -2 and g(3) = 4. if the function is
linear, which of the following defines g?
a) g(x) = x - 3
b) g(x) = 2x - 4
c) g(x) = 3x - 5
d) g(x) = 4x - 6

C. g(x) = 3x - 5.

Step-by-step explanation:

That would be C  (3x - 5).

g(1) = 3(1) - 5 = -2.

g(3) = 3(3) - 5 = 9 - 5 = 4.

x=14

Step-by-step explanation:

To do this, we can solve the equation. We do that by isolating the variable.

Keep in mind, whatever operation you do to one side, you have to do to the other to ensure the equation is accurate.

3x-6=36

Add 6 to both sides to reverse -6.

3x=42

Divide both sides by 3 to reverse the multiplication being done to x.

x=14

Therefore, 14 makes the equation true.