Determine the domain of the function showing the steps.

Algebra

[-2, 7) ∪ (7, ∞)

Step-by-step explanation:

Given function is,

f(x) =

This function is defined only when

[Since square root of a number is not defined]

4x ≥ -8

x ≥ -2

And denominator is greater than of equal to zero.

(If the denominator of a fraction is zero, fraction is not defined)

x - 7 ≥ 0

x ≥ 0

Therefore, domain of the given function will be,

[-2, 7) ∪ (7, ∞)

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step-by-step explanation:

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