What is the domain of f(x)=(2x+5)/(sqrt(x^2+2x-48)) ?

The domain of f(x)=(2x+5)/(sqrt(x^2+2x-48)) is x 6

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domain of f(x)=(2x+5)/(sqrt(x^2+2x-48))

domain

f (x) = \frac{2 x + 5}{x ^{2} + 2 x - 48}

x < - 8 or x > 6

Solution steps

Find non-negative values for radicals:

x \leq - 8 or x \geq 6

Find undefined (singularity) points:

x = 6, x = - 8

Combine real regions and undefined points for final function domain

x < - 8 or x > 6

f (x) = \frac{∣ x - 2 ∣}{x - 2}

y = ln (x + 2)

y = ln (9 - x^{2})

\frac{1}{1 + e ^{- x}}

What is the domain of f(x)=(2x+5)/(sqrt(x^2+2x-48)) ?
The domain of f(x)=(2x+5)/(sqrt(x^2+2x-48)) is x<-8\lor x>6