Question

1. Consider ihe following functions:

f(x) = x^2 + 9
g(x) = (x - 9)^2
h(x) = (x + 1)^2 - 9
Determine the difference between the solutions of f(x), g(x), and h(x).

Answer 1

Explanation:

1) f(x) =0 : x² +9 =0 means x² = -9 ..no solutions in R

2)g(x) =0 : (x-9)² =0 means x-9= 0 ..... single solution : 9

3) h(x)=0 : (x+1)² - 9 = 0 means (x+1)² = 3² so x+1=3 or x+1 = -3

two solutions : 2 and -4