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Pavlova-9 [17]
3 years ago
7

The inverse of Fx) is a function. FOD A. True B. False

Mathematics
1 answer:
anastassius [24]3 years ago
8 0
Not all functions have inverse functions. Those that do are called invertible. For a function f: X → Y to have an inverse, it must have the property that for every y in Y, there is exactly one x in X such that f(x) = y.
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Peter attends 6 dance lessons each week all year long a year has 52 weeks peter missed 5 dance lessons while sick how many dance
viktelen [127]
6 lessons per week multiplied by the number of weeks in a year
6 x 52 = 312
total - 5 missed
312 - 5 = 307 dance lessons
5 0
3 years ago
Suppose f is a continuous function on [-2, 2) such that
Leviafan [203]

Answer:

2. a and b only.

Step-by-step explanation:

We can check all of the given conditions to see which is true and which false.

a. f(c)=0 for some c in (-2,2).

According to the intermediate value theorem this must be true, since the extreme values of the function are f(-2)=1 and f(2)=-1, so according to the theorem, there must be one x-value for which f(x)=0 (middle value between the extreme values) if the function is continuous.

b. the graph of f(-x)+x crosses the x-axis on (-2,2)

Let's test this condition, we will substitute x for the given values on the interval so we get:

f(-(-2))+(-2)

f(2)-2

-1-1=-3  lower limit

f(-2)+2

1+2=3 higher limit

according to these results, the graph must cross the x-axis at some point so the graph can move from f(x)=-3 to f(x)=3, so this must be true.

c. f(c)<1 for all c in (-2,2)

even though this might be true for some x-values of of the interval, there are some other points where this might not be the case. You can find one of those situations when finding f(-2)=1, which is a positive value of f(c), so this must be false.

The final answer is then 2. a and b only.

4 0
3 years ago
LETTERS How many permutations are possible of the letters in the word<br> NUMBERS?
ziro4ka [17]

Answer:

720 has a comment says

Step-by-step explanation:

:)

8 0
2 years ago
Read 2 more answers
75. Simplify the expression: -2x(4x^2 - 5x + 3)
Karolina [17]

-2x(4x² - 5x + 3)    Distribute/multiply -2x into (4x² - 5x + 3)

(4x²)(-2x) - (5x)(-2x) + (3)(-2x)

-8x³ + 10x² - 6x


Your answer is the 3rd option

3 0
3 years ago
Please try this, it's a basic proof that I don't know how to do. Thanks!
avanturin [10]
A cube, is made off 6 squarial faces, so all faces on that cube, are squares, the front, back, left, right, top and bottom.

a square has all equal sides, and also all right angles, so all angles in a square are 90°.  Let's say the sides are "x" long.

now, if we run a plane on that cube diagonally, check the picture below, the diagonal side at the bottom, by usin the 45-45-90 rule as you see it there, will be x√2.

let's keep in mind that, "x" is opposite side of that angle θ, and then x√2 will be the adjacent side of it.

and we can use those two to get the tangent and then the inverse tangent to get the value, as you see it in the picture.

if you need the angle in radians, run the inverse tangent again, just make sure your calculator is in radians mode.

7 0
4 years ago
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