What is the smallest x value where f(x) = g(x)?

Question

Two functions are shown here:

f(x) = 4x^2+ 3x - 8

g(x) = 7x - 8

What is the smallest x value where f(x) = g(x)?

Answer 1

f(x) = g(x)

4x^2 +3x - 8 = 7x -8

4x^2 -4x = 0

x^2 -x = 0

x(x-1) = 0 set each factor = 0 and solve for x

x=0 or 1, smallest x value that makes f(x)=f(x) is zero