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Anuta_ua [19.1K]
3 years ago
8

Inverse function of f(x)=my+b

Mathematics
1 answer:
stealth61 [152]3 years ago
4 0

Answer:

f'(x) =  \frac{y - b}{m}

Step-by-step explanation:

We are to find the inverse of f(x) = my + b

First, put it in the form x = my + b

Secondly, replace y with x to get;

y = mx + b

Thirdly, solve for x to get;

x = \frac{y - b}{m}

Finally, replace your x with f'(x) to get;

f'(x) =  \frac{y - b}{m}

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2 years ago
There are 20 parrots at the animal sanctuary. Their population is increasing at a rate of 15% per year. There are also 24 snakes
worty [1.4K]
For the answer to the questions above,
A) Parrots are following a Geometric Progression of 15% increase.

20(1.15),  20(1.15)², 20(1.15)³,

Function  = 20(1.15)^n      Where n is at the end of year, n =1, 2, 3, ..

Snakes are increasing by 4.

28, 32, 36,....

Function =  24 + 4n          n = number of end year,      n =1, 2, 3,...

<span>B) After 10 years:              </span>
Parrot =  20(1.15)¹⁰    = 80.91115471

Snakes =  24 + 4(10) = 64

<span>C) After what time they are the same: </span>
We use trial and error:


Test:  n                             20(1.15^n)                        (24 + 4n)
          1                                    23                                   28
          2                                    26.45                              32
<span>          3                                    30.41                             36    </span>
          4                                    34.98                              40
          5                                    40.23                              44
          6                                    46.26                              48
          7                                    53.20                              52
          8                                    61.18                              56
          9                                    70.36                              60

After year 7, the Parrots increases far more.
<span>At year 7 they are roughly the same.</span>
8 0
3 years ago
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