State the domain and range of the function. $$ f(x)=\log _{5}(x+2) $$ Domain: Range:

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1. The function given is 
   $$
   f(x)=\log_5(x+2).
   $$
   
2. For a logarithmic function $$ \log_b(u) $$, the argument $$ u $$ must be positive. Therefore, we set:
   $$
   x+2 > 0.
   $$
   
3. Solving for $$ x $$:
   $$
   x > -2.
   $$
   
4. Hence, the domain of $$ f(x) $$ is:
   $$
   (-2, \infty).
   $$
   
5. The range of any logarithmic function is all real numbers, therefore:
   $$
   (-\infty, \infty).
   $$
   
Domain: $$ (-2, \infty) $$

Range: $$ (-\infty, \infty) $$
Domain: $$ x > -2 $$ Range: All real numbers

State the domain and range of the function. \( f(x)=\log _{5}(x+2) \) Domain: Range:

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