$\frac{\frac{\sin{x}}{\cos{x}}+\frac{\cos{x}}{\sin{x}}}{3\sec{x}} \implies \\ \frac{\sin^2{x}+\cos^2{x}}{\sin{x}\cos{x}}\frac{\cos{x}}{3}\implies \\\frac{1}{\sin{x}\cos{x}}*\frac{\cos{x}}{3}\implies \\ \frac{1}{3\sin{x}}$

So,

$\lim_{x \rightarrow \frac{3\pi}{2}}{f(x)=f(\frac{3\pi}{2})=\frac{1}{3\sin{\frac{3\pi}{2}}}=-\frac{1}{3}$

6 0

3 years ago

Given the following absolute value function sketch the graph of the function and find the domain and range. ƒ(x) = |x + 3| - 1

julsineya [31]

I attached a graph of the function for you to look at. For domain and range use what you know, domain is how far it can stretch from left to right, and the range of the function is how far it can go from bottom to top.

4 0

4 years ago

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The elevations, in feet, of three cities are marked on the number line shown below.

Zepler [3.9K]

U didnt put a picture ;-;

3 0

3 years ago

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