Suppose f (x) = 4x/3+5 and g (x) = x/3+1. solve for x when f (x) = g (x)

A). x=?

B). and what is the value of f (x) at that solution?

Q1. The answer is x = - 4.

f (x) = 4x/3+5

g (x) = x/3+1

4x/3+5 = x/3+1

4x/3 - x/3 = 1 - 5

(4x - x) / 3 = - 4

3x/3 = - 4

x = - 4

Q2. The answer is - 1/3

f (x) = 4x/3+5

x = - 4

f (-4) = 4 * (-4) / 3 + 5 = - 16/3 + 15/3 = (-16 + 15) / 3 = - 1/3