What is the domain of f(x)= 1/(\frac{20){x-5}-2} ?

The domain of f(x)= 1/(\frac{20){x-5}-2} is x 15

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domain of f(x)= 1/(\frac{20){x-5}-2}

domain

f (x) = \frac{1}{\frac{20}{x - 5} - 2}

x < 5 or 5 < x < 15 or x > 15

Solution steps

Find undefined (singularity) points:

x = 15, x = 5

The function domain

x < 5 or 5 < x < 15 or x > 15

f (x) = x^{3} - 3 x^{2}

- (x - 7)^{2} + 4

(8.5) (0.3)

f (x) = - \frac{1}{4} x^{2} + 2 x - 1

y = \frac{( x + 9 ) ( x - 9 )}{x ^{2} + 81}

What is the domain of f(x)= 1/(\frac{20){x-5}-2} ?
The domain of f(x)= 1/(\frac{20){x-5}-2} is x<5\lor 5<x<15\lor x>15