What is the domain of f(x)= x/(e^{x^2*5x+6)}+ln(x-1) ?

The domain of f(x)= x/(e^{x^2*5x+6)}+ln(x-1) is x>1

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domain of f(x)= x/(e^{x^2*5x+6)}+ln(x-1)

domain

f (x) = \frac{x}{e ^{x^{2} \cdot 5 x + 6}} + ln (x - 1)

x > 1

Interval Notation

(1, \infty)

Solution steps

Find positive values for logs:

x > 1

The function domain

x > 1

\frac{( x + 2 ) ( x - 3 )}{x ^{2} - 4}

\frac{x - 6}{x ^{2} + 12 x + 36}

(x + 3) - 2

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

f (x) = \frac{x - 6}{x - 5}

What is the domain of f(x)= x/(e^{x^2*5x+6)}+ln(x-1) ?
The domain of f(x)= x/(e^{x^2*5x+6)}+ln(x-1) is x>1