Question

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

Option 1: x = three-halves
Option 2: x = 2
Option 3: x = five-halves
Option 4: x = 4

Answer 1

To find x such that g(x) = f(2), we set up an equation and solve for x. The value of x that satisfies the equation is x = 4.

Step-by-step explanation:

To find the value of x that makes g(x) equal to f(2), we need to set up an equation and solve for x.

Given that f(x) = 3x - 1 and g(x) = 2x - 3, we can substitute 2 for x in f(x) to find f(2):

f(2) = 3(2) - 1 = 6 - 1 = 5

Now we can set up the equation:

5 = 2x - 3

Adding 3 to both sides:

8 = 2x

Dividing both sides by 2:

x = 4

Therefore, the value of x that makes g(x) = f(2) is x = 4.