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Cloud [144]
3 years ago
12

Find the inverse of the function.

Mathematics
1 answer:
nikklg [1K]3 years ago
3 0
The equation that is given in this item can be mathematically expressed as,
    f(x) = (x/7)^(1/3) - 9

The expression f(x) can be replaced with y such that the equation can also be written as,
    y = (x/7)^(1/3) - 9

The first thing that needs to be done to get the inverse of the function is to interchange the positions of x and y. In this equation, that becomes,
   x = (y/7)^(1/3) - 9

Then, solve for the value of y in terms of x.
 Transpose the constant to the other side of the equation.
 x + 9 = (y/7)^(1/3)

Raise the whole equation by 3 in order to eliminate the radical.
  (x+9)³ = (y/7)
Multiply the equation by 7 to eliminate the fraction.
  (x+9)³(7) = y

Thus, the inverse of the function is equal to
<em>  f⁻¹(x) = 7(x+9)³

</em>
<em />The answer is letter B.<em>
</em>
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Daniella has $210 in the bank, and her balance is growing at a rate of $3 each month. Lori has $187 in the bank,but her balance
just olya [345]

Answer: 15 1/3 months

Step-by-step explanation:

Daniella has $210 in the bank, and her balance grows at a rate of $3 each month. This can be written as:

b = 3m + 210 ...... equation i

Lori has $187 in the bank and her balance grows at a rate of $4.50 each month. This can be written as:

b = 4.5m + 187 ....... equation ii

Combine both equations

b = 3m + 210

b = 4.5m + 187

3m + 210 = 4.5m + 187

4.5m - 3m = 210 - 187

1.5m = 23

m = 23/1.5

m = 15 1/3 months

4 0
3 years ago
MATTHEW HAS A BAG OF 100 PIECES OF CANDY. HE NEEDS TO SPLIT THE BAG BETWEEN HIS CLASSMATES IN HIS AM AND PM CLASS. HE HAS 20 STU
DiKsa [7]

Answer: They can recieve about 2.

Exact answer: 2.5

Step-by-step explanation:

If you divded 100 by 40, you get 2.5

Since there are 20 students in each AM and PM classes. you add 20 and 20, which is 40, then you divided by 100 which is 2.5

4 0
3 years ago
-3|x+4|+16=7<br>two solutions​
DIA [1.3K]
-3|x+4|+16=7
-3|x+4|=7-16
-3|x+4|=-9
|x+4|=3
x+4=3
x+4=-3
x=-1
x=-7
X1=-7 X2=-1
3 0
3 years ago
49/10 as a mixed number
anastassius [24]
4 9/10 is your answer because you first have to divide the numerator by the denominator. this will give you 4, with a remainder of 9. The mix number can be created by using the 4 as the whole number, the 9 as the numerator and the 10 as a denominator. So, 49/10 = 4 9/10. Hope this works!
5 0
3 years ago
Read 2 more answers
I need help I don’t know how that’s not right.
Leviafan [203]

Answer: v=-81.92

Step-by-step explanation:

\displaystyle\\7+\frac{v}{8} =-3.24\\\\7+\frac{v}{8}-7 =-3.24-7\\\\\frac{v}{8} =-10.24\\\\\frac{v}{8} =-10.24

Multiply both parts of the equation by 8:

\displaystyle\\(\frac{v}{8})(8)=(-10.24)(8) \\\\v=-81.92

6 0
1 year ago
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