Question

Given the functions f(x) = 7x - 2 and g(x) = 3x + 6, find the value of x for which f(x) = g(x).

A) 1
B) 2
C) 3
D) 4

Answer 1

To find the value of x for which f(x) = g(x), set the two equations equal to each other and solve for x. The value of x is 2.

Step-by-step explanation:

To find the value of x for which f(x) = g(x), we can set the two equations equal to each other.

7x - 2 = 3x + 6

Subtracting 3x from both sides gives:

4x - 2 = 6.

Adding 2 to both sides gives:

4x = 8.

Finally, dividing both sides by 4 gives:

x = 2.

Therefore, the value of x for which f(x) = g(x) is 2.