Answer:
For x = 3 or x = -3 h(x) =f(x)/g(x) is undefined.
Step-by-step explanation:
Given : h(x) =f(x)/g(x) is undefined if f(x) = 5x + 1 and g(x) = x² - 9.
TO find : Find the values of x for which the combined function h(x) =f(x)/g(x) is undefined .
Solution : We have given that
f(x) = 5x + 1 and g(x) = x² - 9.
Function is undefined when denominator of fraction is zero .
In h(x) =f(x)/g(x)
Here , g(x) is the denominator then g(x) =0
x² - 9 = 0
On adding by 9 both sides
x² - 9 + 9 = +9.
x² = 9
Taking square root both sides
x = [tex]\sqrt{9}[/tex]
x = ± 3
x = 3 , x = -3
Therefore, For x = 3 or x = -3 h(x) =f(x)/g(x) is undefined.
