What is the domain of f(x)=ln(x-1)+e^{(x^2-3)}+(x^2-4)^{5/3} ?

The domain of f(x)=ln(x-1)+e^{(x^2-3)}+(x^2-4)^{5/3} is x>1

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domain of f(x)=ln(x-1)+e^{(x^2-3)}+(x^2-4)^{5/3}

domain

f (x) = ln (x - 1) + e^{(x^{2} - 3)} + (x^{2} - 4)^{\frac{5}{3}}

x > 1

Interval Notation

(1, \infty)

Solution steps

Find positive values for logs:

x > 1

The function domain

x > 1

f (x) = e x

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

y = sin (\frac{x}{2})

f (x) = x^{2} + 8 x + 3

a, r = a (1 + cos (θ))

What is the domain of f(x)=ln(x-1)+e^{(x^2-3)}+(x^2-4)^{5/3} ?
The domain of f(x)=ln(x-1)+e^{(x^2-3)}+(x^2-4)^{5/3} is x>1