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Dec 2 2013 12:19am
how do I find the inverse function of:

f(x) = 7
------
2x + 4

please, my test is tomrrow. and im studying. but idk how b/c of the fraction.
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Dec 2 2013 12:22am
it's 7 over 2x + 4
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Dec 2 2013 12:26am
Quote (TheGrouch @ 2 Dec 2013 06:22)
it's 7 over 2x + 4


so you mean f(x) = 7 / (2x+4) ?
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Dec 2 2013 12:46am
yes
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Dec 2 2013 12:49am
Quote (TheGrouch @ Dec 2 2013 12:46am)
yes



1. replace your y with x's and x with y's
2. solve for your new y by algebraic means
that y= is f^-1(x), the inverse

This post was edited by saber_x3 on Dec 2 2013 12:49am
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Dec 2 2013 12:51am
Quote (saber_x3 @ Dec 2 2013 02:49am)
1. replace your y with x's and x with y's
2. solve for your new y by algebraic means
that y= is f^-1(x), the inverse


yes but it doens't make sense

1. y = 7 / 2x + 4
2. x = 7 / 2y + 4
3. (2y+4)(x) = 7
4. 2y + 4 = 7 / x
5. 2y = (7 / x ) - 4
6. y = [( 7 / x) -4 ] / 2


Is this right?
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Dec 2 2013 12:56am
Quote (TheGrouch @ Dec 2 2013 12:51am)
yes but it doens't make sense

1. y = 7 / 2x + 4
2. x = 7 / 2y + 4
3. (2y+4)(x) = 7
4. 2y + 4 = 7 / x
5. 2y = (7 / x ) - 4
6. y = [( 7 / x) -4 ] / 2


Is this right?


yea
what doesn't make sense?
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Dec 2 2013 12:56am
How do I get to my final answer after step 6?
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Dec 2 2013 12:58am
Quote (TheGrouch @ Dec 2 2013 12:56am)
How do I get to my final answer after step 6?


well, you should replace y with f^-1(x) , which denotes it's the inverse

This post was edited by saber_x3 on Dec 2 2013 12:59am
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Dec 2 2013 10:16am
Quote (TheGrouch @ 2 Dec 2013 08:56)
How do I get to my final answer after step 6?


Quote (saber_x3 @ 2 Dec 2013 08:58)
well, you should replace y with f^-1(x) , which denotes it's the inverse


that mean nothing else than that Step 6 is already your final answer. Controlled the steps by myself they are aight.
Nice explaining by saber_x3 there btw!

This post was edited by Cel on Dec 2 2013 10:17am
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