Question

The tables below show the values of f(x) and g(x) for different values of x:

f(x) = 2(3)x

x f(x)
-2 0.22
-1 0.67
0 2
1 6
2 18


g(x) = 3x + 1
x g(x)
-2 1.11
-1 1.33
0 2
1 4
2 10


Based on the tables, what is the solution to the equation 2(3)x = 3x + 1?
x = –1

x = 0

x = 1

x = 2

Answer 1

@Mindblast3r

Answer 2

@iPwnBunnies

Answer 3

A solution to this system is the same thing as where the two functions intersect.
Therefore, both equations much share the same point.Which is the only point both of them have in common?

Answer 4

the X is the same on both sides

Answer 5

The X and Y value will be the same, since they share the same point.

Answer 6

ok

Answer 7

ok so what would the answer be?

Answer 8

Look at the values of both functions. They give you the x values from -2 to 2. For both of them, they share the same x value and y value. o.o That's the point where they intersect.

Answer 9

So its 2?

Answer 10

The y-value, at least. The x value, which they are asking for, will be x = 0.
So, yeah, both functions have a point (0,2) on their graphs, where they intersect, therefore that's the solution.