Question

f(x)=13/x-6
what is the domain of f

Answer 1

Oh, i see. you started a new post for this question.

Answer 2

the domain is the x-axis... but this time we have a restriction...

Answer 3

Do you mean

\(f(x) = \dfrac{13}{x - 6} \) ?

Answer 4

I'm sure that's right... because there is a restriction for that function..

Answer 5

yes

Answer 6

for what value of x makes the entire function undefined ?

Answer 7

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.

Answer 8

it's similar to solving x - 6 = 0

Answer 9

To find what value makes the denominator zero, solve the simple equation:

x - 6 = 0

What is x?

Answer 10

what do we need to do to have x by itself?

Answer 11

0

Answer 12

no.. we are solving for x
for x -6=0

Answer 13

No.
If x = 0, x - 6 = 0 - 6 = -6.
That makes a denominator of -6 which is fine.

Answer 14

How do you solve the equation
x - 6 = 0 for x?

Answer 15

how do we get x by itself? there must be some arithmetic somewhere
x-6=0

Answer 16

Since you want to isolate x, and 6 is being subtracted from x, you add 6 to both sides.