Question

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

A. x = 3/2
B. x = 2
C. x = 5/2
D. x = 4

Answer 1

There is no value of x that makes g(x) equal to f(2). None of the given options.

Step-by-step explanation:

To find the value of x for which g(x) = f(2), we substitute the expressions for g(x) and f(2) into the equation and solve for x:

2x - 3 = 3(2) - 1

2x - 3 = 6 - 1

2x - 3 = 5

Adding 3 to both sides, we get:

2x = 5 + 3

2x = 8

Dividing both sides by 2, we find that:

x = 4

Therefore, for x = 4, g(x) will be equal to f(2).