SOLUTION: A right triangle has a leg of length x and a hypotenuse of length 2x. Write an equation to find the length s of the other leg, and use it to estimate s when the hypotenuse has a l

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Question 180607: A right triangle has a leg of length x and a hypotenuse of length 2x. Write an equation to find the length s of the other leg, and use it to estimate s when the hypotenuse has a length of 5 cm??



If ƒ(x) = 5x + 8, find (ƒ-1 ° ƒ)(59) and (ƒ ° ƒ-1)(3,001).
Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
A right triangle has a leg of length x and a hypotenuse of length 2x. Write an equation to find the length s of the other leg, and use it to estimate s when the hypotenuse has a length of 5 cm??
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1)
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if hypothenuse is 5 then x=5/2
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2)If ƒ(x) = 5x + 8, find (ƒ-1 ° ƒ)(59) and (ƒ ° ƒ-1)(3,001).
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is x=5y+8--->5y=x-8--->y=(1/5)x-(8/5)
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so
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for (ƒ-1 ° ƒ)(59)...we need to take the f(59) first and the of that result.
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......so (ƒ-1 ° ƒ)(59)=59
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for (ƒ ° ƒ-1)(3,001). we take the first and then the f of that
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result.
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Notice how we ended up with the same value as we started with????
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