What is the domain of f(x)=((x5^x))/(5^{(x+2))-1} ?

The domain of f(x)=((x5^x))/(5^{(x+2))-1} is x -2

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domain of f(x)=((x5^x))/(5^{(x+2))-1}

domain

f (x) = \frac{( x 5 ^{x} )}{5 ^{(x + 2)} - 1}

x < - 2 or x > - 2

Interval Notation

(- \infty, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2

The function domain

x < - 2 or x > - 2

f (x) = x^{4} - 8 x^{2} + 17

lo g_{10} (x + 1)

f (x, y) = ln (x)

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

f (x) = \frac{4}{x - 5}

What is the domain of f(x)=((x5^x))/(5^{(x+2))-1} ?
The domain of f(x)=((x5^x))/(5^{(x+2))-1} is x<-2\lor x>-2