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sdas [7]
3 years ago
6

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.

Mathematics
2 answers:
bulgar [2K]3 years ago
8 0

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 = \sqrt{9}

x = ± 3

x = 3 , x = -3

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

neonofarm [45]3 years ago
3 0
Hello : 
<span>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
</span><span> the values  : </span>x=3 or x= -3
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