what is the range of f(x) = 3^x + 9?\n{y | y < 9}\n{y | y > 9}\n{y | y > 3}\n{y | y < 3}

Explanation:

Step1: Analyze the exponential - function $y = 3^x$.

The exponential function $y = a^x$ where $a>1$ (here $a = 3$) has a range of $(0,+\infty)$, that is, $3^x>0$ for all real - valued $x$.

Step2: Find the range of $f(x)=3^x + 9$.

If $3^x>0$, then $3^x + 9>0 + 9$. So $f(x)=3^x + 9>9$.

Answer:

{y|y > 9}