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Aleksandr [31]
2 years ago
10

The function h(x) is given below:

Mathematics
1 answer:
g100num [7]2 years ago
6 0

Step-by-step explanation:

The domain and range of a function and its inverse are inverted i.e. The domain of the function will become range of its inverse and the range of the function will become the domain of its inverse.

When representing the function in ordered pairs, the first values in the pair represents the domain and second values represent the range of the function.

h(x) = {3,5),(5,-7)(6,-9)(10,-12)(12,16)}

Domain of h(x) is: {3, 5, 6, 10, 12}

Range of h(x) is: (5, -7, -9, -12, 16}

So,

Domain of h^{-1}(x) = Range of h(x) = (5, -7, -9, -12, 16}

Range of h^{-1}(x) = Domain of h(x) = {3, 5, 6, 10, 12}

Therefore, h^{-1}(x) will be represented as:

{(5,3), (-7,5), (-9, 6), (-12, 10), (16,12)}

It seems like you have made some error while writing the original function because of which we are not getting an exact match in the answer. However by looking at the answers, option B is the nearest most and seems the correct answer.

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Triangle BCD is rotated counterclockwise to form
IRISSAK [1]

Answer:

The answer is 90 degrees. Have a good day!

Step-by-step explanation:

6 0
3 years ago
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-7.4r - 6.31 = 3.23 - 5.6r
nikdorinn [45]

Answer:

r=−5.3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−7.4r−6.31=3.23−5.6r

−7.4r+−6.31=3.23+−5.6r

−7.4r−6.31=−5.6r+3.23

Step 2: Add 5.6r to both sides.

−7.4r−6.31+5.6r=−5.6r+3.23+5.6r

−1.8r−6.31=3.23

Step 3: Add 6.31 to both sides.

−1.8r−6.31+6.31=3.23+6.31

−1.8r=9.54

Step 4: Divide both sides by -1.8.

−1.8r/−1.8=9.54/−1.8

r=−5.3

4 0
2 years ago
Find the line with the slope m=½ through point (8,1)​
Stels [109]

Answer:

y=\frac{1}{2}x-3

Step-by-step explanation:

y-y_1 =m(x-x_1 )\\
y-1=\frac{1}{2} (x-8)\\y=\frac{1}{2}x-3

4 0
2 years ago
What is the value of k that makes each equation true. For example, 5(ky-6)=15y-30
motikmotik

Answer:

k = 3

Step-by-step explanation:

5(ky-6)=15y-30

Factor out a 5 from the right side

5(ky-6)=5(3y-6)

Divide each side by 5

ky -6 = 3y -6

Add 6 to each side

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divide by y

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4 0
2 years ago
What is the constant of proportionality for m=32•g
lina2011 [118]

Answer:

∴ Constant of Proportionality is 32

Step-by-step explanation:

Here Given;

m=32\times g  (equation-1)

\frac{m}{g}=32  (equation-2) (divide with 'g' on both side)

We know,

The Constant of Proportionality equation is given;

y=k\times x  (equation-3)

Where 'k' is known as Constant of Proportionality.

Comparing equation-1 and equation-3;

y=m and x=g

Now equation-2 become;

k=\frac{y}{x}

Plug y=m and x=g in above equation;

\frac{m}{g}=k  (equation-4)

By comparing equation-2 and equation-4;

k=32

So Constant of Proportionality is 32

6 0
3 years ago
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