Determine an x-value that results in an equal output for both functions.

Question

Determine an x-value that results in an equal output for both functions.

 

f(x)=x+2

g(x)=(x+2)^2 - 3

Answer 1

Equal output for both functions means that f(x) = g(x)

 

So, (x+2)² - 3 = x+2

 

      x²+4x+1 = x+2

 

      x²+3x-1 = o

 

x = [-3 ± √13] / 2