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pantera1 [17]
3 years ago
14

1. How do you determine whether a function is an inverse of another function?

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0
<h3>Answer:</h3>
  1. Find the composite of the functions
  2. x/3
  3. All the answers are correct
  4. f(x) = 2+∛(x/3)
  5. f(x) = (x+3)/2
<h3>Step-by-step explanation:</h3>

1. If f(x) and g(x) are inverse functions, then f(g(x)) = g(f(x)) = x. Finding the composite of the two functions will tell you if they are inverses.

2. To find the inverse of a function, swap x and y, then solve for y.

... x = 3y

... x/3 = y . . . . . matches f(x) = x/3

3. A function will pass the vertical line test. If its inverse is also a function, that, too, will pass the vertical line test. Since the inverse of a function is that function reflected across y=x, any inverse function that passes the vertical line test corresponds to an original function that passes the horizontal line test. (A vertical line reflected across y=x is a horizontal line.)

4. See 2.

... x = 3(y -2)³

... (x/3) = (y -2)³ . . . . divide by 3

... ∛(x/3) = y -2 . . . . .take the cube root

... 2+∛(x/3) = y . . . . .add 2

... f(x) = 2+∛(x/3) . . . . is the inverse

5. See 2.

... x = 2y -3

... x+3 = 2y . . . . . add 3

... (x+3)/2 = y . . . .divide by 2

... f(x) = (x+3)/2 . . . .  is the inverse

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17. y=1/2x+5

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Step-by-step explanation:

Number 17.

(4,7); parallel to y=1/2x-1

You know that lines that are parallel to each other have the same slope, so the slope is 1/2x.

1. Use the point-slope formula to solve for the slope-intercept equation.

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Number 18.

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1. Use the point-slope formula to solve for the slope-intercept equation.

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Number 19.

f(3)=-1

f(4)=1

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x1= 3

y1= -1

x2= 4

y2=1

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(1-(-1))/(4-3)

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y-y1=m(x-x1)

y-1=2(x-4)

y-1=2x-8

y=2x-7

6 0
3 years ago
A jar contains 770 beans. Of them, 350 are mung beans and the rest are kidney beans. What is the ratio of mung beans to all the
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Answer:

5 MB : 16 B

Step-by-step explanation:

First, find the GCF of 770 and 350. ( 70 )

Next, divide both numbers by 70

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It says ratio of mung beans to <u>all</u> beans.

11 KB + 5 MB = 16 B

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