Question

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?

Answer 1

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