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Pavlova-9 [17]
3 years ago
12

Type the correct answer in each box. Functions h and K are inverse functions, and both are defined for all real numbers Using th

is relationship, what is the value of each function composition?
(h o k) (3)=
(k o h)(-4b) =​
Mathematics
1 answer:
kompoz [17]3 years ago
7 0

Answer:

(h o k) (3) = 3

(k o h) (-4b) = -4b

Step-by-step explanation:

An inverse function is the opposite of a function. An easy way to find inverse functions is to treat the evaluator like another variable, then solve for the input variable in terms of the evaluator. One property of inverse functions is that when one finds the composition of inverse functions, the result is the input value, no matter the order in which one uses the functions in the combination. This is because all terms in a function and their inverse cancel each other and the result is the input. Thus, when one multiplies two functions that are inverse of each other, no matter the input, the output will always be the input value.

This holds true in this case, it is given that (h) and (k) are inverses. While one is not given the actual function, one knows that the composition of the functions (h) and (k) will result in the input variable. Therefore, even though different numbers are being evaluated in the composition, the output will always be the input.

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The sides of a rectangle are 6.3 cm and 4.8cm, each correct to 1 decimal place.
Effectus [21]
Error= 0.1/2, 0.05

4.8 + 0.05 = 4.85
6.3 + 0.05 = 6.35

4.85 x 6.35 = 30.7975 cm (when rounded, gives 30.80 cm).
8 0
3 years ago
Find the value of the expression<br><br> s + 12.92<br><br> for s = 4.
mixer [17]

Answer:

16.92

Step-by-step explanation:

4 + 12.92 =

16.92

6 0
2 years ago
The average reading score on certain tests is given by y = 0.153x + 255.4, where x is the number of years past 1970. In what yea
nirvana33 [79]

Average reading score is given by the expression,

        y = 0.153x + 255.4

Here, x in the number of years past 1970.

To find the year in which the average reading score is 259.378, substitute the value of 'y' in the given expression.

y = 0.153x + 255.4

259.378 = 0.153(x) + 255.4

0.153x = 259.378 - 255.4

0.153x = 3.978

x = \frac{3.978}{0.153}

x = 26

That means given average reading score 259.378 will be 26 years after 1970.

       Therefore, 1996 is the year in which the average reading score will be 259.378.

Learn more,

brainly.com/question/2883790

3 0
2 years ago
How many lines of symmetry does this figure have?
Sergeeva-Olga [200]

Answer:

2

Step-by-step explanation:

There are two lines of symmetry and here I list them:

1) The first is a horizontal line that divides the square in to even parts such that the top part is the projection of the down one trough the symmetry line (and vice versa).

2) The second one is the vertical line that divides the square in two even sides. Note that this line will also divide both stars at half. The left side will be projected on the right one (and vice versa) trough the symmetry line.

A third line could be thought to be a diagonal between opposite vertices, but notice that the stars projection won't by symmetric in this case.

So, we only have 2 symmetry lines.

4 0
3 years ago
PLEASE HELP!!!!!!!!!_______
frez [133]

Answer: B

Step-by-step explanation:

5 0
2 years ago
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