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umka2103 [35]
3 years ago
15

I really need help with my take home test. The problem is f(x)=(x-7)/2, what is the value of (f°f^-1)(3). Really struggled with

this one. Options are:
1) 2x+7

2)-2

3) 3

4) x
Mathematics
2 answers:
-Dominant- [34]3 years ago
8 0
3) 3 is the answer to this equation
kiruha [24]3 years ago
5 0
Answer: 3) 3
First,We can find the inverse function of f(x) which is f^-1(x);
Let f(x)=y , x=f^-1(y)
(x-7)/2=y
(x-7)=2y
x=2y+7
Subtitute this equation x=2y+7 in the equation f^-1(y) and we have;
f^-1(y)=2y+7
change y into x,
f^-1(x)=2x+7

(f°f^-1)(3)=(f×(f^-1)(3))
=f(2×(3)+7)
=f(6+7)
=f(13)
=(13-7)/2
=6/2
=3
Hope this helps and sorry if my answer is wrong.
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where the symbol \Phi (the uppercase greek alphabet phi) is the cumulative density function of the normal distribution, \mu is the mean and \sigma is the standard deviation of the normal distribution defined as N(\mu, \ \sigma).

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Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.

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