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kozerog [31]
3 years ago
11

How do you find the inverse f-1(x) given f(x)=x^3+7?

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0

Answer:

f^{-1}(x)=\sqrt[3]{x-7}

Step-by-step explanation:

First let me list the steps to find the inverse of a function.

1) Replace f(x) with y

2) Swap the locations of x's and y's

3) Solve for y

4) Replace y with  f^{-1}(x)

Now lets do this with this function

f(x)=x^3+7\\\\y=x^3+7\\\\x=y^3+7\\\\y^3=x-7\\\\y=\sqrt[3]{x-7}\\\\f^{-1}(x)=\sqrt[3]{x-7}

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Find the slope of the line passions through the points(-6,3) and (-6,-1)
VLD [36.1K]

Answer:

The slope of this line would be undefined.

Step-by-step explanation:

In order to find the slope of any line, use the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (3 - -1)/(-6 - -6)

m = (3 + 1)/(-6 + 6)

m = 4/0

Since we cannot divide by 0, then we know the slope is undefined.

8 0
3 years ago
Evaluate 3(x-1)^2 if x=4
Ronch [10]

Answer:

27

Step-by-step explanation:

3(4-1)²

3(3)²

3 x 9

= 27

5 0
3 years ago
What is StartAbsoluteValue 8 EndAbsoluteValue? –16 –8 8 16 help plz
gayaneshka [121]

Answer:

8

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Can y’all plz help me ?
crimeas [40]

Answer:

x=-5

Step-by-step explanation

The first box has eight x's and six 1's which means that it would be written as 8x+6

The second box has four x's and fourteen -1's which means that it would be written as 4x-14

You set them equal to one another

8x+6=4x-14

You subtract 4x from both sides

4x+6=-14

Subtract 6 on both sides

4x=-20

Divide 4 on both sides

x=-5

Hope it helps :))

4 0
3 years ago
The ratio of the side lengths of a quadrilateral is 3:2:6:7, and its perimeter is 126 meters. What is the length of the shortest
scoundrel [369]

since the lengths of all those four sides are in a 3:2:6:7 ratio, and the whole perimeter is 126, what we do is, simply divide the whole by (3+2+6+7) and distribute accordingly.


\bf \stackrel{3\cdot \frac{126}{3+2+6+7}}{3}~~:~~\stackrel{2\cdot \frac{126}{3+2+6+7}}{2}~~:~~\stackrel{6\cdot \frac{126}{3+2+6+7}}{6}~~:~~\stackrel{7\cdot \frac{126}{3+2+6+7}}{7} \\\\\\ 3\cdot \cfrac{126}{18}~~:~~2\cdot \cfrac{126}{18}~~:~~6\cdot \cfrac{126}{18}~~:~~7\cdot \cfrac{126}{18} \\\\\\ 21~~:~~\stackrel{shortest}{14}~~:~~42~~:~~49

7 0
3 years ago
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