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Solve
h(x)=e^(1//2) for values of
x in the domain of
h.

Solve $h(x)=e^{\frac{1}{2}}$ for values of $x$ in the domain of $h$ .

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Domain and range of square root functions: equations

Full solution

Q. Solve

h(x)=e^{\frac{1}{2}}

for values of

x

in the domain of

h

.

Identify Function & Domain: Identify the function and its general domain. $\newline$ $h(x) = e^{\frac{1}{2}}$ is a constant function because $e^{\frac{1}{2}}$ is just a number (approximately $1.64872$ ). The exponential function $e^x$ is defined for all real numbers $x$ .
Determine Domain: Determine the domain of $h(x) = e^{\frac{1}{2}}$ . Since $e^{\frac{1}{2}}$ is a constant and does not depend on $x$ , it is defined for all $x$ in the real number set.
Confirm Domain: Confirm the domain. $\newline$ The domain of $h(x) = e^{\frac{1}{2}}$ is all real numbers, because the exponential function does not restrict $x$ values.

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Question

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Question

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