What is the domain of f(x)=5x^2-8x-44ln(x-1) ?

The domain of f(x)=5x^2-8x-44ln(x-1) is x>1

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domain of f(x)=5x^2-8x-44ln(x-1)

domain

f (x) = 5 x^{2} - 8 x - 44 ln (x - 1)

x > 1

Interval Notation

(1, \infty)

Solution steps

Find positive values for logs:

x > 1

The function domain

x > 1

\frac{2 x ^{2} - 5}{x}

f (x) = \frac{2 x + 9}{x - 1}

f (x) = tan (5 x)

f (x) = - 2 x - 9

f (x) = - 2 x - 8

What is the domain of f(x)=5x^2-8x-44ln(x-1) ?
The domain of f(x)=5x^2-8x-44ln(x-1) is x>1