What is the domain of f(x)=arcsin(e^{x^2+x-2}) ?

The domain of f(x)=arcsin(e^{x^2+x-2}) is -2<= x<= 1

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domain of f(x)=arcsin(e^{x^2+x-2})

domain

f (x) = arcsin (e^{x^{2} + x - 2})

- 2 \leq x \leq 1

Interval Notation

[- 2, 1]

Solution steps

Find known functions domain restrictions:

- 2 \leq x \leq 1

The function domain

- 2 \leq x \leq 1

in f l ec t i o n \frac{x ^{3}}{3} - x^{2} - 3 x

in v erse f (x) = 2 x^{\frac{1}{5}} - 3

a sy m pt o t es \frac{3 x ^{3} - 30 x + 76}{x ^{2} - 10 x + 25}

in v erse f (x) = 3 e^{x - 2}

3 x^{2} - 6 x - 9 = 0

What is the domain of f(x)=arcsin(e^{x^2+x-2}) ?
The domain of f(x)=arcsin(e^{x^2+x-2}) is -2<= x<= 1