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marissa [1.9K]
3 years ago
14

Help please!!!!!!!! It’s pre cal

Mathematics
2 answers:
tino4ka555 [31]3 years ago
6 0

Answer:

No, the inverse function does not pass the vertical line test.

Step-by-step explanation:

Remember that h(x)=y. To find the inverse of our function we are going to invert x and y and solve for y:

h(x)=x^2+3

y=x^2+3

x=y^2+3

x-3=y^2

y=\pm\sqrt{x-3}

h^{-1}(x)=\pm\sqrt{x-3}

Now we can graph our function an perform the vertical line test (check the attached picture).

Remember that the vertical line test is a visual way of determine if a relation is a function. A relation is a function if and only if it only has one value of y for each value of x. In other words, a relation is a function if a vertical line only intercepts the graph of the function once.

As you can see in the picture, the vertical line x = 15 intercepts the function twice, so the inverse function h(x) is not a function.

We can conclude that the correct answer is: No, the inverse function does not pass the vertical line test.

11111nata11111 [884]3 years ago
6 0

Answer:

a. No, the inverse function does not pass horizontal line test

Step-by-step explanation:

h(x) = x² + 3

y = x² + 3

y - 3 = x² ⇒  x² = y - 3

\sqrt{x^{2} } = \sqrt{y-3} \\x =  \sqrt{y - 3} , -\sqrt{y-3}

h^{-1} x = \sqrt{x - 3} , -\sqrt{x-3}[/tex]

The function h^{-1} x fails the horizontal line test, it is not a one to one function.

So, option a is correct

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Company A had a loss of $255 in January. Company B had a profit of $162 in January. What was the difference between the profits
Julli [10]

Answer:

The difference of the profit of two companies is $ 417

Step-by-step explanation:

Given as :

The company A loss amount in January = $ 255

The company B profit amount in January = $ 162

Let the difference between there profits = x

So, x = company B profit - ( company A profit)

I.e x = company B profit - ( - company A loss)

Or, x = $ 255 + $162

∴   x = $ 417

Hence The difference of the profit of two companies is $ 417  . Answer

6 0
3 years ago
-3j - (-4) over -6 = 12 j= ? ​
babymother [125]

Answer:

j =76/3

Step-by-step explanation:

-3j -  -4

------------------ = 12

-6

Multiply each side by -6 to clear the fraction

-3j +4

------------------ * -6 = 12 *-6

-6

-3j +4 = -72

Subtract 4 from each side

-3j +4-4 = -72 -4

-3j = -76

Divide each side by -3

-3j/-3 = -76/-3

j = 76/3

5 0
3 years ago
Can someone help please 3x-y=13 A. (6,5) B.(3,-4) C. (6,5) and (3,-4) D. neither
gavmur [86]

Answer:

C. (6, 5) and (3, -4)

Step-by-step explanation:

Given the equation 3x - y = 13, we need to figure out which points satisfy it. In order for an ordered pair to satisfy an equation, when we plug the x-coordinate in for x and the y-coordinate in for y, the equation should hold true.

Let's try with (6, 5):

3x - y = 13

3 * 6 - 5 =? 13

18 - 5 =? 13

13 = 13

Since this is true, we know that (6, 5) is indeed a solution.

Now let's try with (3, -4):

3x - y = 13

3 * (3) - (-4) =? 13

9 + 4 =?13

13 = 13

Again, since this is true, then (3, -4) must be a solution.

Thus, the answer is C.

<em>~ an aesthetics lover</em>

6 0
2 years ago
Read 2 more answers
You buy 1 1/4 yards of fabric and $8 clothing pattern. Your total cost with a 6% sales tax added is $18.55. What is the cost per
Anna35 [415]

Answer: The fabric costs $7.60 per yard.

Step-by-step explanation: First we can divide it by 106 then multiply it by 100 to get rid of the 6% sales tax, which now the cost of the stuff is $17.50. 

Next, we subtract 8 from this to represent the clothing pattern cost. Now it is $9.50.

The last stap to this is to divide it by 1 1/4 to get the final cost per yard: 

The fabric costs $7.60 per yard.

4 0
3 years ago
(a+b)2 ;a=1/2 and b=2
FrozenT [24]

Answer:

\frac{25}{4}

Step-by-step explanation:

a + b = \frac{1}{2} + 2 = 2 \frac{1}{2} = \frac{5}{2}, thus

(a + b)² = (\frac{5}{2} )² = \frac{5}{2} × \frac{5}{2} = \frac{5(5)}{2(2)} = \frac{25}{4}

8 0
3 years ago
Read 2 more answers
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