Find the values of x for which the combined function h(x) = is undefined if f(x) = 5x + 1 and g(x) = x2 - 9.
x = 3
x = -3
x = ±3
x = ±9

The values of x for which the combined function h(x) is undefined if f(x) = 5x + 1 and g(x) = x² - 9 is ±3: Option C is correct.

Given the following functions;

f(x) = 5x + 1

g(x) = x² - 9

The combined function h(x) is expressed as

Substitute the given functions into the combined function as shown:

For the function to be undefined, the denominator will be equated to zero

(x + 3)(x - 3) = 0

x + 3 = 0 and x - 3 = 0

x = 3 and -3

Hence the values of x for which the combined function h(x) is undefined if f(x) = 5x + 1 and g(x) = x² - 9 is ±3

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