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raketka [301]
3 years ago
10

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

Mathematics
1 answer:
Rama09 [41]3 years ago
5 0
We need to know the definition of the "combined function" h(x).  I'm going to guess--by looking at answers--that the function is h(x)=\frac{f(x)}{g(x)} making it

h(x)=\frac{5x+1}{x^2-9}

This function is undefined wherever the denominator is equal to 0 (division by zero is undefined).  Factor the denominator.

h(x)=\frac{5x+1}{(x+3)(x-3)}

The two values of x that make the denominator 0 are 3 and -3, otherwise written x=\pm 3.
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