Select the correct answer from each drop menu. A functions with the domain {2,3,4} has a specific range. Determine the function
1 answer:
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By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).
<h3>How to find the inverse of a function</h3>
In this question we have a <em>rational</em> function f(x) and finding its inverse consists in clearing x in terms of f(x). Prior any algebraic handling, we need to apply the following substitutions:
x · (y + 7) = - 2 · y + 2
x · y + 7 · x = - 2 · y + 2
2 · y + x · y = - 7 · x + 2
y · (2 + x) = - 7 · x + 2
By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).
To learn more on inverses: brainly.com/question/7181576
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The probability of selecting a number not divisible by 3 is: 2/3
Step-by-step explanation:
There are two methods to solve the question.
- We can find the probability of numbers not divisible by 3
- We can find the probability of numbers divisible by 3 and then find the complement of it
We will use the second method:
Given:
There are 24 slips
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24}
n(S) = 24
Let A be the event that the slip number is divisible by 3
Then
A = {3,6,9,12,15,18,21,24}
n(A) = 8
The probability of number divisible by 3 is:
The sum of the probability of an event's occurrence and non-occurrence is 1. So the probability of numbers divisible by 3 will be subtracted from 1 to find the probability of selecting a number not divisible by 3.
The probability of selecting a number not divisible by 3 will be:
The probability of selecting a number not divisible by 3 is: 2/3
Keywords: Probability
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