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denis23 [38]
3 years ago
9

Which represents the inverse of the function f(x) = 4x?

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0
F (x) = 4x    ⇒    y = 4x 
                               ↓
                           x = 4y     Divide by 4 on both sides
                               ↓
                          x / 4 = y   ⇒   Inverse function = x / 4
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What is the slope of the line that contains these points?<br> (-1,10) (0,18) (1,26) (2,34)
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The slope of the line that contains these points (-1 , 10) , (0 , 18) , (1 , 26) ,

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Step-by-step explanation:

You can find the slope of a line from any two points lie on it

  • The formula of the slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}
  • (x_{1},y_{1}) and (x_{2},y_{2}) are two points lie on it

∵ A line contains these points (-1 , 10) , (0 , 18) , (1 , 26) , (2 , 34)

- To find the slope of the line chose any to points

∵ Points (0 , 18) and (1 , 26) lie on the line

∴ x_{1} = 0 and x_{2} = 1

∴ y_{1} = 18 and y_{2} = 26

- Substitute these values in the formula of the slope above

∵ m=\frac{26-18}{1-0}

∴ m=\frac{8}{1}

∴ m = 8

The slope of the line that contains these points (-1 , 10) , (0 , 18) , (1 , 26) , (2 , 34) is 8

Learn more:

You can learn more about the slope of a line in brainly.com/question/12954015

#LearnwithBrainly

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