Question

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

f (x) = 2(3)×

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

g(x)=3×+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)×=3×+1?

a) x=-1
b) x=0
c) x=1
d) x=2

Answer 1

2(3)× = 3×+1 is equal when f(x) = g(x).
f(x) is equal to g(x) when x = 0.
Therefore, the solution to the equation 2(3)×=3×+1 is x = 0.