Domain of fx-4x-x2-16

The correct option is D |x| gt;4 The expression is 4x√(x^2 16) The function is defined only if x^2 16 gt;0 x^2 gt;16 |x| gt;4 ...

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Definition of Functions

Domain of f...

Question

Domain of $f (x) = \frac{4 x}{\sqrt{x^{2} - 16}}$

| x | > 4

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| x | < 4

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| x | = 4

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x \in R

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Solution

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Similar questions

f (x) = \sqrt{x - x^{2}} + \sqrt{4 + x} + \sqrt{4 - x}

f (x) \begin{matrix} = \frac{x^{2} - 16}{x - 4} + a f o r x < 4 = 2, f o r x = 4 = 3 x^{2} + 4 x + b, f o r x > 4 \end{matrix}

x = 4

a

b

f (x) = x \cdot \frac{1 + 2 (x + 4)^{- 0.5}}{2 - (x + 6)^{0.5}} + (x + 5)^{0.5} + 4 (x + 10)^{- 0.5}

f (x) =

\frac{x - 3}{(x - 1) \sqrt{x^{2} - 4}}

f (x) = x^{2} - 4

0 \leq x \leq 2

= 2 x + 5

2 < x \leq 4

= x^{2} - 5

4 < x \leq 6

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