What is the domain of f(x)=e^{0.5x}+4e^{-0.5x} ?

The domain of f(x)=e^{0.5x}+4e^{-0.5x} is -infinity <x<infinity

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domain of f(x)=e^{0.5x}+4e^{-0.5x}

domain

f (x) = e^{0.5 x} + 4 e^{- 0.5 x}

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

\frac{x ^{2} - 8 x + 15}{x ^{2} - 7 x + 12}

f (x) = - 4 - x

f (x) = \frac{x ^{2} - 6 x + 8}{x - 4}

- lo g_{2} (x - 1)

\frac{5 x}{x - 2}

What is the domain of f(x)=e^{0.5x}+4e^{-0.5x} ?
The domain of f(x)=e^{0.5x}+4e^{-0.5x} is -infinity <x<infinity