Question

Find the values of x for which the combined function h(x) =f(x)/g(x) is undefined if f(x) = 5x + 1 and g(x) = x2 - 9.

Answer 1

hello :
the function h(x) =f(x)/g(x) is undefined : x²-9 =0
(x-3)(x+3)=0
x-3=0 or x+3=0
the values : x=3 or x= -3

Answer 2

For x = 3 or x = -3 h(x) =f(x)/g(x) is undefined.

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 =
`√(9)`

x = ± 3

x = 3 , x = -3

Therefore, For x = 3 or x = -3 h(x) =f(x)/g(x) is undefined.