Question

Given f(x)= 3x-1 and g(x)= 2x-3, for which value of x does g(x)=f(2)?

Answer 1

x = 4

Explanation:

To solve for x in g(x) = f(2), find f(2) by substituting x=2 into f(x) = 3x-1. Once you have this value, set g(x) = 2x-3 equal to this value and solve for x.

f(2) = 3(2)-1

f(2) = 6-1

f(2) = 5

Now set g(x) equal to 5.

5 = 2x - 3

8 = 2x

4 = x