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oee [108]
3 years ago
15

Please answer quickly for me

Mathematics
1 answer:
Tasya [4]3 years ago
6 0

Answer:

f(x)⁻¹ = x³ + 2

Step-by-step explanation:

Find the inverse of f(x) = ∛(x - 2).

The first step is to let f(x) = y

y =  ∛(x - 2)

Then make x the subject of the formula

y³ =  [∛(x - 2)]³

y³ = x - 2

x = y³ + 2

∴ f(x)⁻¹ = y³ + 2

Replacing y with x we have.

f(x)⁻¹ = x³ + 2

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lbvjy [14]

Answer:

  • a) AB = 10 units
  • b) Midpoint is (2, 6)

===================

<h3 /><h3>Given</h3>

  • Points A( - 1, 10) and B(5, 2)

<h3>To find</h3>

  • a) The length of AB
  • b) The midpoint of AB

<h3>Solution</h3>

a) Use the distance formula:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates and calculate:

d=\sqrt{(5-(-1))^2+(2-10)^2} =\sqrt{6^2+(-8)^2} =\sqrt{36+64} =\sqrt{100} =10

The distance is AB = 10 units

b) Use midpoint formula and find x and y- coordinates of this point:

x= \cfrac{x_1+x_2}{2}    and    y= \cfrac{y_1+y_2}{2}

Substitute coordinates and find the midpoint:

x= \cfrac{-1+5}{2} =2  and  y= \cfrac{10+2}{2}=6

The midpoint is (2, 6)

3 0
2 years ago
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C

Step-by-step explanation:

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Step-by-step explanation:

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