What is the domain of f(x)=((x^2+4x-32))/(x-4) ?

The domain of f(x)=((x^2+4x-32))/(x-4) is x 4

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domain of f(x)=((x^2+4x-32))/(x-4)

domain

f (x) = \frac{( x ^{2} + 4 x - 32 )}{x - 4}

x < 4 or x > 4

Interval Notation

(- \infty, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4

The function domain

x < 4 or x > 4

f (x) = 7 x^{2} + 70 x + 178, - 5 \leq x \leq 2

f (x) = - 5 x + 25

f (x) = - 6 (y - 2)^{2} + 8

f (x) = 10 x^{2} - 10 x

3 \cdot 5 - x

What is the domain of f(x)=((x^2+4x-32))/(x-4) ?
The domain of f(x)=((x^2+4x-32))/(x-4) is x<4\lor x>4