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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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Step-by-step explanation:

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3 years ago
An experienced cashier at a grocery store takes 2 seconds to scan each item and 40 seconds to process the customer's payment. 1)
grigory [225]

Answer:

The correct option is D) 43 items.

Step-by-step explanation:

As we know that total given time is ,

Y = (60\times2) +6 =126\hspace{0.15cm} sec,

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6 0
3 years ago
Complete the square to factor X^2 +10X=-8
ella [17]

Answer: x=\sqrt{17}-5 and x = -\sqrt{17}-5

Step-by-step explanation:

Alright, lets get started.

The given equation is :

x^{2} +10x = -8

Adding 8 in both sides, it will become

x^{2} +10x + 8 = -8 +8

x^{2} +10x + 8 = 0

To make it perfect square, we need to add 25 and subtract 25

x^{2} +10x + 8 +25-25= 0

x^2+10x+25+8-25=0

(x+5)^2+8-25=0

(x+5)^2-17=0

Adding 17 in both sides  

(x+5)^2=17  

taking square root

x+5=\sqrt{17}

So,

x=\sqrt{17}-5 and x = -\sqrt{17}-5  .. Answer

Hope it will help :)

7 0
3 years ago
Read 2 more answers
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Step-by-step explanation:

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2 years ago
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27/60 = 0.45 miles per minute

7 0
3 years ago
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