$u(x)=-2x^2+3\\\\v(x)=\dfrac{1}{x}\\\\(u\ \circ\ v)(x)=-2\left(\dfrac{1}{x}\right)^2+3=-2\left(\dfrac{1}{x^2}\right)+3=-\dfrac{1}{x^2}+3\\\\\text{The range of}\ y=\dfrac{1}{x^2}\ \text{is all positive real numbers.}\\\\\text{The range of}\ y=-\dfrac{1}{x^2}\ \text{is all negative real numbers.}\\\\\text{The range of }\ (u\ \circ\ v)(x)=-\dfrac{1}{x^2}+3\ is\ (-\infty,\ 3)$

6 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7By%7D%7Bx%7D%20%20%20-%202x%20%3D%20y" id="TexFormula1" title=" \frac{y}{x} - 2x

dem82 [27]

Answer:

$y=\frac{2x^{2} }{1-x} \\$

Step-by-step explanation:

3 0

3 years ago

how many different plates are possible if letters and digits can be repeated with 3 letters follwed by 2 digits

WARRIOR [948]

We know that there are 26 letters in the alphabet, and 10 different digit possibilities (0-9). We also know that the plates each have 3 letters and 2 digits. and they can be repeated. To solve this, we multiply 26 X 26 X 26 X 10 X 10 to get the total amount of possibilities 1,757,600. Hope this helps.

5 0

3 years ago

10. What is the stope of the line shown in the graph Express your answer as an improper fraction or as an integer as appropriate

FinnZ [79.3K]

Step-by-step explanation:

slope is y2-y1/x2-x1

formula is

y=mx+b where m is the slope

5 0

3 years ago