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The problem is: f(x)=-4/x-9(-12)

[Its hard to tell what that equation really looks like, I wish I could make it to where it really looks like the real thing but its (-) and then 4 OVER x-9 kinda like a fraction and then -12

Example of a Domain and Range answer could be :

R,x≠{The Domain Number}

R,y≠{The Range Number}

I hope someone can EXPLAIN and UNDERSTAND what Im talking about, and Please give an answer

 Apr 27, 2015

Best Answer 

 #1
avatar+23246 
+8

f(x)  =  4/(x - 9)  -  12

The domain is the set of all possible x-values; all x-values are legal except for 9 (which makes the denominator 0).  

Every y-alue is possible except for -12 (you can't get -12 because: the only way that you can get -12 is for 4/(x - 9) to be 0 and you can't find an x-value that works.)

Another way to look at this:  substitute y for f(x)

--->   y  =  4/(x - 9) - 12

Add 12 to both sides:

--->   y + 12  =  4/(x - 9)

Multiply both sides by x - 9:

--->   (x - 9)(y + 12)  =  4

Neither x - 9 nor y + 12 can be 0 (if they were, the answer would be 0, not 4)

So, x can't be 9 and y can't be -12.   (Anything else is OK.)

 Apr 27, 2015
 #1
avatar+23246 
+8
Best Answer

f(x)  =  4/(x - 9)  -  12

The domain is the set of all possible x-values; all x-values are legal except for 9 (which makes the denominator 0).  

Every y-alue is possible except for -12 (you can't get -12 because: the only way that you can get -12 is for 4/(x - 9) to be 0 and you can't find an x-value that works.)

Another way to look at this:  substitute y for f(x)

--->   y  =  4/(x - 9) - 12

Add 12 to both sides:

--->   y + 12  =  4/(x - 9)

Multiply both sides by x - 9:

--->   (x - 9)(y + 12)  =  4

Neither x - 9 nor y + 12 can be 0 (if they were, the answer would be 0, not 4)

So, x can't be 9 and y can't be -12.   (Anything else is OK.)

geno3141 Apr 27, 2015
 #2
avatar+128599 
+5

Here's the graph of what geno has described........https://www.desmos.com/calculator/pdlwkb21zg

Notice that we have asymptotes at y = -12 and at x = 9  .....just as geno predicted  !!!!!

 

  

 Apr 27, 2015

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