anonymous
  • anonymous
f(x)=13/x-6 what is the domain of f
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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mathstudent55
  • mathstudent55
Oh, i see. you started a new post for this question.
UsukiDoll
  • UsukiDoll
the domain is the x-axis... but this time we have a restriction...
mathstudent55
  • mathstudent55
Do you mean \(f(x) = \dfrac{13}{x - 6} \) ?

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UsukiDoll
  • UsukiDoll
I'm sure that's right... because there is a restriction for that function..
anonymous
  • anonymous
yes
UsukiDoll
  • UsukiDoll
for what value of x makes the entire function undefined ?
mathstudent55
  • mathstudent55
The domain is the set of values that x can have. A fraction can never have a denominator of zero. If the denominator is x - 6, then x - 6 cannot be zero.
UsukiDoll
  • UsukiDoll
it's similar to solving x - 6 = 0
mathstudent55
  • mathstudent55
To find what value makes the denominator zero, solve the simple equation: x - 6 = 0 What is x?
UsukiDoll
  • UsukiDoll
what do we need to do to have x by itself?
anonymous
  • anonymous
0
UsukiDoll
  • UsukiDoll
no.. we are solving for x for x -6=0
mathstudent55
  • mathstudent55
No. If x = 0, x - 6 = 0 - 6 = -6. That makes a denominator of -6 which is fine.
mathstudent55
  • mathstudent55
How do you solve the equation x - 6 = 0 for x?
UsukiDoll
  • UsukiDoll
how do we get x by itself? there must be some arithmetic somewhere x-6=0
mathstudent55
  • mathstudent55
Since you want to isolate x, and 6 is being subtracted from x, you add 6 to both sides.
mathstudent55
  • mathstudent55
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mathstudent55
  • mathstudent55
What is x?
UsukiDoll
  • UsukiDoll
it's impossible to go further into this problem until we figure out what value of x makes the entire function undefined..

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