Answer:
y = x/4
Step-by-step explanation:
First, replace f(x) with y, so it's easier to find the inverse:
y = 4x
To find the inverse of this function, you would replace all the y's with x's and all the x's with y's, and then solve for y. That would be:
x = 4y
y = x/4
Therefore, the inverse function of y = 4x is y = x/4.
9514 1404 393
Answer:

Step-by-step explanation:
The left section is defined at x = -5, but not at x = 0, so the interval for that definition is -5 ≤ x < 0. The function value on that interval is constant: 3.
The right section is defined a x = 5, but not at x = 0, so the interval for that definition is 0 < x ≤ 5. That section is a straight line with a slope of -1 and a y-intercept of 1. The function value on that interval can be written -x+1.
Then the piecewise definition is ...
f(x) = {3, for -5 ≤ x < 0; -x+1, for 0 < x ≤ 5}
Answer:
c is -7
Step-by-step explanation:
-7 + 10 = 3
:D
Answer:
In its broadest definition, “civic education” means all the processes that ... That makes the question of good citizenship relative to the ... These questions are rarely treated together as part of comprehensive theories of civic education; ... of virtue, so would the polis itself become more virtuous and excellent.
Step-by-step explanation:
Answer: B) 4 & 1/6
Nice work on getting the correct answer.
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Explanation:
x is opposite the marked acute angle
5 is opposite the corresponding acute angle
So x and 5 are proportional to each other. We can form the ratio x/5
Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.
Set those ratios equal to each other and solve for x
x/5 = 10/12
12x = 5*10 ... cross multiply
12x = 50
x = 50/12 ...... divide both sides by 12
x = (25*2)/(6*2)
x = 25/6
x = (24+1)/6
x = 24/6 + 1/6
x = 4 + 1/6
x = 4 & 1/6 which shows why <u>choice B</u> is the answer.
Side note: 25/6 = 4.167 approximately