Question

Find the domain of the real valued function: f(x) = $\frac{3^{x}}{x + 1}$

Answer 1

The $\textbf{domain}$ of function $\textbf{f(x)}$ is the set of all values for which function is defined.

we have to find domain of real valued function : f(x) = $\frac{3^x}{x+1}$

To define f(x),
denominator of f(x) ≠ 0

e.g., (x + 1) ≠ 0

or, x ≠ -1

so, domain of function $\in\mathbb{R}-\{-1\}$