If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.

Solution:

Given two functions, f(x) = g(x)

⇒ -3x + 4 = 2

Subtract 4 from both sides

⇒ -3x + 4 - 4 = 2 - 4

⇒ -3x = -2

Divide both sides by -3.

⇒ x = 2/3

If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.

Summary:

The value of x for which f(x) = g(x) is true if f(x) = -3x + 4 and g(x) = 2 is 2/3.