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Zolol [24]
3 years ago
6

Determine the inverse of the function

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
3 0
First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
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blagie [28]

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Step-by-step explanation:

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4 years ago
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4 2/3 divided by 1/2
ycow [4]

Answer:

9 1/3

Step-by-step explanation:

1. Make 4 2/3 into a improper fraction

4 2/3= 14/3

2. Keep, change, flip

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3. Multiply

14/3 x 2/1= 28/3

4. Simplify

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(btw keep, change, flip basically means to keep the first fraction the way it is, change the division sign to a multiplication sign, then flip the second fraction so the original denominator is the new numerator, and vise versa.)

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Which statement is not true about the data shown by the box plot below?
lisov135 [29]

Answer:

c. Three fourths of the data is greater than 65.

Step-by-step explanation:

  • A. is right, half of the data does lie between 53 and 74.
  • B. is right, when calculated, the range is 57.
  • C. is wrong.
  • D. is right, the median of the lower half of the data is 53.

  • I've attached a helpful image of box-and-whisker plots!

5 0
3 years ago
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What is the height of the triangular prism below if the volume equals 1,638 cubic millimeters? 65 mm 63 mm 26 mm 28 mm.
sergejj [24]

Answer:

The height of the triangular prism is 26\ mm

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the triangular prism is equal to

V=Bh

where

B is the area of the triangular base

h is the height of the prism

<em>Find the area of the base B</em>

B=\frac{1}{2}(7)(18)=63\ mm^{2}

we have

V=1,638\ mm^{3}

h=x\ mm

substitute and solve for x

1,638=(63)x

x=1,638/(63)=26\ mm

6 0
4 years ago
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