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3 years ago

Given f(x) = 7x^9, find f^-1 (x). Then state whether f^-1 (x) is a function

1 answer:

7 0

A though without graphing software it would appear to be C

Step-by-step explanation:
The inverse of a function is the function reflected across the line y=x. This results in the coordinate points (x,y) of the function becoming (y,x) for the inverse function. Algebraically to find the inverse, switch the x and y locations and solve for y.
y = 7x^9
x = 7y^9
x/7 = y^9
(9)√(x/7) = y
This is a ninth root of (x/7) also written in exponents as y = (x/7)^(1/9).
This is a function. While it appears not to be a function because the middle portion over the origin appears vertical, it is a function because the middle portion over the origin is changing and graphing software shows it has no input with more than one output. Without graphing software you would rule it is not a function.

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Answer:

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Step-by-step explanation:

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A drawer contains 60 pairs of socks. Each pair is one of four colors. What is the minimum number of socks that must be drawn, at

Anna35 [415]

Answer:

Minimum 5 socks needs to be selected.

Step-by-step explanation:

Given that there are four different colors of socks.

So, if you pick 4 socks , in worst case it will be all four of different color.

now if you pick 5th socks it will be either of those four colors.

Hence, minimum 5 socks must be taken to ensure that a pair of matching-color socks is selected.

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To elaborate it more,

let four colors be red, yellow, blue , green

if you pick 5 socks, then in worst case four will be all of different color

red, yellow, blue , green but fifth will be

If red socks, then there will 1 pair of red socks
If yellow socks, then there will 1 pair of yellow socks
If blue socks, then there will 1 pair of blue socks
If green socks, then there will 1 pair of green socks

Hence. minimum 5 socks needs to be selected.

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In general, if you have n objects of different colors then you need to take minimum n+1 number of object to have at least two object of same color.

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