By concepts of functions, the inverse of the <em>rational</em> function f(x) = (2 · x + 1)/(x - 4) is f⁻¹(x) = (4 · x + 1)/(x - 2), whose value at being evaluated at x = 3 is equal to 13.
<h3>How to determine the value of the inverse of a function</h3>
In this question we must determine the inverse of a given function and evaluate the resulting expression at a given value. First, we apply the following substitution:
f⁻¹(x) = x
x = f(x)
x = (2 · f⁻¹(x) + 1)/(f⁻¹(x) - 4)
Then we clear f⁻¹(x) within the expression:
x · (f⁻¹(x) - 4) = 2 · f⁻¹(x) + 1
x · f⁻¹(x) - 4 · x = 2 · f⁻¹(x) + 1
x · f⁻¹(x) - 2 · f⁻¹(x) = 4 · x + 1
f⁻¹(x) · (x - 2) = 4 · x + 1
f⁻¹(x) = (4 · x + 1)/(x - 2)
Lastly, we evaluate the function at x = 3:
f⁻¹(3) = (4 · 3 + 1)/(3 - 2)
f⁻¹(3) = 13
By concepts of functions, the inverse of the <em>rational</em> function f(x) = (2 · x + 1)/(x - 4) is f⁻¹(x) = (4 · x + 1)/(x - 2), whose value at being evaluated at x = 3 is equal to 13.
To learn more on inverse functions: brainly.com/question/2541698
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To solve this, look for some factors which could go into the number. Since it ends in a 0, the number 10 is a factor. Since 990 is the product of these factors (meaning they are multiplied together) you can divide out the 10, since division is the opposite of multiplication. This leaves you with the number 99. You can repeat this same process again, realizing that 9 must be a factor of 99 because both digits are 9. If you divide out the 9, this leaves you with 11.
Thus, we know 9*10*11 equals 990. Also, these numbers are consecutive because they increase by 1 each time.
The sum of the numbers is 9+10+11, whicj Iis 30.
ANSWER: 30
Answer:
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6.75 feet |
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Step-by-step explanation:
Let the width be x. If the width is x, the the length has to be 3x because in the question it says that the length is 3 times the width.
Since this is a rectangle, the opposite side has the same measure, like in the attachment below.
To find the perimeter, you would add up all the sides.
3x+3x+x+x
=6x+2x
=8x
It is also given in the question that he uses 18 feet. Which means that the perimeter is 18 feet. But you figured out that 8x is ALSO the perimeter. This means that you can say: 8x=18.
Solve for x, 18/8=9/4=2.25.
You want the length, which is 3x. So 3(2.25) is your answer.
3(2.25) = 6.75
Answer:
I think it’s 34 percent. If not I’m so sorry- but I’m like 99.999999 percent sure about it. Also use percentage calculators they help a lottttt
Love u bye ❤️
Step-by-step explanation:
