anonymous
  • anonymous
Please help with this pre-cal questions in the attachment.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
1 Attachment
***[ISURU]***
  • ***[ISURU]***
do u know the meaning of using [ ] or () brackets ?
anonymous
  • anonymous
Yes

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***[ISURU]***
  • ***[ISURU]***
well ... then ur 1st Question ask for a function ( which i will denote by f(x) ) which should be greater than or equal to 0 but lesser than + infinity ..... usually functions with square roots belongs to this type
***[ISURU]***
  • ***[ISURU]***
\[f(x) = \sqrt{x}\] this is a very simple example
***[ISURU]***
  • ***[ISURU]***
u cant find the square root of \[\sqrt{-3}\] or any other negative number.... got it ?
anonymous
  • anonymous
Okay, got it.
***[ISURU]***
  • ***[ISURU]***
the second one says... a function which is greater than - infinity and lesser than + infinity... usually ...almost any linear function satisfy this
***[ISURU]***
  • ***[ISURU]***
\[f(x) = x + 8 \]\[f(x) = 5x + 10 \]....like any u like...
anonymous
  • anonymous
Oh okay
***[ISURU]***
  • ***[ISURU]***
these functions can take either negative or positive values... no harm happens :)
anonymous
  • anonymous
Okay cool
***[ISURU]***
  • ***[ISURU]***
now for the last one... its the same as the second one ..but it cant be equal to zero...usually a function with this range means that the function is a fraction ...like the below one
***[ISURU]***
  • ***[ISURU]***
\[f(x) = \frac{ 5x + 8 }{ x}\]
***[ISURU]***
  • ***[ISURU]***
if u substitute 0 in the above one...u wont be able to tell what will be the answer... because a number divide by zero could be either + infinity or - infinity
anonymous
  • anonymous
Right, ok, got it.
anonymous
  • anonymous
:)
***[ISURU]***
  • ***[ISURU]***
soo... in a fraction the denominator cant be zero... any function with a fraction where the denominator will be 0 when x is 0 will be ur answer for the third and last of ur first question :)
***[ISURU]***
  • ***[ISURU]***
now... do u want help in the 2nd one too ?
anonymous
  • anonymous
Yes please. Thank you for helping me with the first question! :)
***[ISURU]***
  • ***[ISURU]***
u r welcome :) lets c... the 2nd one
***[ISURU]***
  • ***[ISURU]***
they say the original price is "x" and the price after you apply the coupon is f(x) ...... what happens when u applied the coupon is.... the cut off 25 dollars ..... so if the price of ur dress is "x" ...after u apply the coupon ..the price is " x -25 " ...because they cut off 25$
***[ISURU]***
  • ***[ISURU]***
so... f(X) = X -25 ...got it ?
anonymous
  • anonymous
Okay I understand that
***[ISURU]***
  • ***[ISURU]***
now lets consider g(x) ..... g(x) is the price of dress withe the 20% discount applied.... a 20% discount means that u can buy the dress less than 20% of the original price if the original price is "x" then 20% of "x" is (20/100)x then g(x) = x - (20/100)x got it ?
anonymous
  • anonymous
Yes that makes sense
***[ISURU]***
  • ***[ISURU]***
and finally .... ( f o g )(x) means f( g (x) )...where u have to substituent g(x) instead of "x" in f(x) therefor (f o g)(x) = g(x) - 25 = x - (20/100)x - 25
***[ISURU]***
  • ***[ISURU]***
in the same way (g o f)(x) means g ( f(x) ) where u have to substitute "f(x)" instead of "x" in "g(x)" therefor (g o f)(x) = f(x) - (20/100)f(x) = x - 25 - [ (20/100)( x -25) ]
***[ISURU]***
  • ***[ISURU]***
i hope u understand it :)
anonymous
  • anonymous
Those two I was really confused on, but I understand them now :)
anonymous
  • anonymous
Thank you sooo much!! I really appreciate it! :)
***[ISURU]***
  • ***[ISURU]***
u r welcome :)

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