What is the domain of f(x)=(4x+5)/(sqrt(x^2-7)) ?

The domain of f(x)=(4x+5)/(sqrt(x^2-7)) is x sqrt(7)

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domain of f(x)=(4x+5)/(sqrt(x^2-7))

domain

f (x) = \frac{4 x + 5}{x ^{2} - 7}

x < - 7 or x > 7

Interval Notation

(- \infty, - 7) \cup (7, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 7 or x \geq 7

Find undefined (singularity) points:

x = 7, x = - 7

Combine real regions and undefined points for final function domain

x < - 7 or x > 7

f (x) = x^{4} + 5

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

y = lo g_{10} (4 - 6 x)

f (x) = ln (\frac{( x - 1 )}{( x - 2 )})

q (x) = \frac{x - 3}{x ^{2} + x - 12}

What is the domain of f(x)=(4x+5)/(sqrt(x^2-7)) ?
The domain of f(x)=(4x+5)/(sqrt(x^2-7)) is x<-sqrt(7)\lor x>sqrt(7)