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White raven [17]
2 years ago
10

Find the inverse of the function.

Mathematics
2 answers:
asambeis [7]2 years ago
7 0

Answer:

A) f^{-1}(n)= (n+2)^3

Step-by-step explanation:

f(n) = \sqrt[3]{n} -2

y = \sqrt[3]{n} -2

y = n^{1/3}-2

n = y^{1/3} -2

n + 2 = y^{1/3}

y = (n + 2) ^3

f^{-1}(n) = (n + 2)^3

Hope this helps!

Nat2105 [25]2 years ago
7 0

Answer:

Option A

Step-by-step explanation:

f(n) =∛n-2

y= ∛n-2

Interchange y and n

n =∛y-2

Subtract -2 on both sides

n+2 = ∛y

both  both sides  to the 3rd power:

(n+2) to the 3rd power = y

Inverse :

f-1(n) =     (n+2) to the 3rd power  (option A)

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I don't understand the substitution method?
liq [111]
It depends on what variable you are tying to solve for first. Say you are trying to solve for x first and then y on the first problem you wrote.

In substitution you solve one of the equations for example with
6x+2y=-10
2x+2y=-10
you solve 2x+2y=-10 for x

2x+2y=-10
-2y = -2y (what you do to one side of the = you do to the other)
2x=-10-2y (to get the variable by its self you divide the # and the variable)
/2=/2 (-10/2=-5 and -2y/2= -y or -1y, they are the same either way)
x=-5-y

now you put that in your original equation that you didn't solve for:
6(-5-y)+2y=-10 solve for that
-30-6y+2y=-10 combine like terms
-30-4y=-10 get the y alone and to do this you first get the -30 away from it
+30=+30
-4y=20 divide the -4 from each side
/-4=/-4 (20/-4=-5)
y=-5

now the equation you previously solved for x can be solved for y.
x=-5-y
x=-5-(-5) a minus parenthesis negative -(- gives you a positive
-5+5=0
x=0

and now we have solved the problem. x=0 and y=-5

6 0
3 years ago
Jesse walked 3/4 of a mile last weekend. This weekend he wakes 1/2 as far. How far did Jesse wall this weekend ?
Anna35 [415]

3/8 is the answer

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Hope this helps!

7 0
3 years ago
Read 2 more answers
What is the solution set of these system5x-2y=17 and 4x-7=13?
MatroZZZ [7]

Answer:

x=5

y=4

Step-by-step explanation:

Step 1:

Let us solve for <em>x</em> using the 4x-7=13 equation by <u>isolating terms containing the variable</u>:

4x-7=13\\4x=20\\\fbox{x=5}

Great! <em>x</em> is 5... let's find <em>y</em>.

Step 2:

Since we know the value of <em>x</em>, we can use what we know to find <em>y</em> using the <u>other equation</u>:

5x-2y=17\\

<em>Given that x=5, we can </em><u><em>replace</em></u><em> x with 5</em>.

5*5-2y=17\\25-2y=17\\2y=8\\\\\fbox{y=4}

<em>I hope this helps! Let me know if you have any questions :)</em>

3 0
2 years ago
Find the perimeter of the composite figure.
iVinArrow [24]

Answer:

87.92

Step-by-step explanation:

you have to multiply 3.14 by 2 which will give you 6.28, then you multiply 6.28 by 14 which gives you 87.92. hope this helps

4 0
3 years ago
What is 7 more than five times the number 9 divided by 15??
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the answer is 10. 5 times 9 = 45 and it says 45 divided by 15 which is 3 and it says seven more than 9 divided by 15 so 10 bb :)

8 0
3 years ago
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