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mojhsa [17]
3 years ago
9

WORTH 35 POINTS :))

Mathematics
1 answer:
Alenkasestr [34]3 years ago
3 0

Answer:

7.5

Step-by-step explanation:

8x÷4=12÷4

2x=3

x=3/2=1.5

2y+10=22

2y=12

y=6

1.5+6=7.5=7½

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Find g^-1(x) <br><br> A<br> B<br> C<br> D
Katyanochek1 [597]
<h2>Answer:</h2>

a. \ g^{-1}=-1 \pm\sqrt{\frac{3}{x}+1}

<h2>Step-by-step explanation:</h2>

A function has an inverse function if and only if passes the Horizontal Line Test for Inverse Functions. This test tells us that a function f has an inverse function if and only if there is no any horizontal line that intersects the graph of f at more than one point. So the function is called one-to-one. The graph of g is shown below. As you can see, this function does not pass the Horizontal Line Test, therefore the inverse is not a function. However, let's find g^-{1}(x):

g(x)=\frac{3}{x^2+2x} \\ \\ Substitute \ g(x) \ by \ y \\ \\y=\frac{3}{x^2+2x} \\ \\ Interchange \ x \ and \ y: \\ \\ x=\frac{3}{y^2+2y} \\ \\ Solve \ for \ y: \\ \\y^2+2y=\frac{3}{x} \\ \\ Completing \ square \\ \\y^2+2y\mathbf{+ 1}\mathbf{-1}=\frac{3}{x} \\ \\(y+1)^2=\frac{3}{x}+1 \\ \\y+1=\pm\sqrt{\frac{3}{x}+1} \\ \\ y=-1 \pm\sqrt{\frac{3}{x}+1}

Finally, substitute y \ by \ g^{-1}:

boxed{g^{-1}=-1 \pm\sqrt{\frac{3}{x}+1}}

7 0
3 years ago
1.what is -20 divided by 4/5
4vir4ik [10]
The answer is D because when u divide it
7 0
3 years ago
Please help and thank you
Pani-rosa [81]

Answer:

I think its 368.28 cubic inches

Step-by-step explanation:

3 0
2 years ago
Tate the order and type of each transformation of the graph of the function
klasskru [66]

Answer:

left 1 unit, reflection about the x-axis, up 1 unit

Step-by-step explanation:

This is a cubic that has been moved left 1 unit because of the (x+1)^3 part.

It also has been moved up one unit because of the plus 1 on the outside of the cube.

There has also been a reflection across the x-axis because of the -1 in front of the -(x+1)^3 part.

In general, g(x-h)+k means:

1) the function g has been moved right (if h is positive) or moved left (if h is negative).

2) the function g has been moved up (if k is positive) or down (if k is negative)

6 0
3 years ago
What is the degree of the polynomial <img src="https://tex.z-dn.net/?f=4x%5E%7B5%7D%2B3x%5E%7B4%7D" id="TexFormula1" title="4x^{
Hatshy [7]
The degree is 5 since it is the larger one
3 0
3 years ago
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