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storchak [24]
2 years ago
9

If h(x) is the inverse of f(x), what is the value of h(f(x))? 0 1 x f(x) A.0 B.1 C.X D.f(x)

Mathematics
2 answers:
Semmy [17]2 years ago
8 0
If f and h are inverses, then:

f (h(x) ) = x   and also

h( f(x) ) = x
V125BC [204]2 years ago
7 0

Answer:

Option C is correct

The value of h(f(x)) is, x

Step-by-step explanation:

Inverse function:

An inverse function that undergoes the other function.

For example: if f(x) is the inverse of g(x) then;

f(g(x)) = g(f(x)) = x for every x.

As per the statement:

If h(x) is the inverse of f(x).

by definition of inverse:

f(h(x)) = h(f(x)) = x

Therefore,  the value of h(f(x)) is, x

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Your mayor just announced that the local unemployment rate dropped last month from the prior month. it went from 10.5% to 10.4%.
Lapatulllka [165]
It is a drop, but by only 0.1%. It isn't a significant drop. The average city has a population of about 20,000 people. 10.5 percent of 20,000 is 2,100. 10.4 percent of 20,000 is 2,080. So, it really isn't a significant drop.
Even if a city had a much larger population, it would still be a very small drop compared to the overall population.

8 0
2 years ago
Three pounds of squid can be purchased at the market for $18. Determine the equation and represent the function that defines the
olga_2 [115]
From the information given,

3 pounds = $18

Therefore, 1 pound = 18/3 = $6 (this can be treated as a constant of proportionality) such that,

Cost,C = 6*Weight, W (pounds)

Equation;

C = 6W, where C = Cost in $, and W = Weight in pounds.
7 0
2 years ago
Find the mean, median and mode of the weights of the people shown. 105kg 53kg 76kg 91kg 120kg 61kg 55kg 98kg 61kg
Yuliya22 [10]
First, you need to put them in order
53kg, 55kg, 61kg, 61kg, 76kg, 91kg, 98kg, 105kg, 120kg

For mean, you add them all up and divide by the amount of numbers (9)
720/9 = 80

For median, you find the middle number (76kg)

For mode, you find the number that appears the most (61kg)

Mean: 80
Median: 76
Mode: 61
5 0
2 years ago
Read 2 more answers
Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he’ll call her on the
Ivenika [448]

Answer:

84%

Step-by-step explanation:

The probability of Thomas bumping into her at school is 80%, so the probability of not bumping into her is 100% - 80% = 20%.

If he doesn't bump into her (20% chance), he will call her, and the probability of asking her in this case is 60%, so the final probability of asking her in this case is:

P_1 = 20\% * 60\% = 12\%

If he bumps into her (80% chance), the probability of asking her is 90%, so the final probability of asking her in this case is:

P_2 = 80\% * 90\% = 72\%

To find the probability of Thomas inviting Madeline to the party, we just have to sum the probabilities we found above:

P = P_1 + P_2

P = 12\% + 72\% = 84\%

5 0
2 years ago
Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inv
vazorg [7]
The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4

To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
y= \sqrt[5]{Bx+C}</span>
7 0
2 years ago
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