SOLUTION: Suppose that f(x)=
(5x)
_________
(x^2)−x−6
(that is supposed to be fraction form- did it like that to prevent confusion)
a. Determine the domain of f
Algebra.Com
Question 889563: Suppose that f(x)=
(5x)
_________
(x^2)−x−6
(that is supposed to be fraction form- did it like that to prevent confusion)
a. Determine the domain of f
b. Determine the vertical asymptote(s), if any, of the graph of f
c. Determine the horizontal asymptote(s), if any, of the graph of f
d, Sketch the graph of f
Found 2 solutions by josgarithmetic, lwsshak3:
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
f(x)=(5x)/(x^2-x-6)
Should render with the triple brace tags as
There is an x-axis intercept at x=0.
Vertical asymptotes are at x=-2 and x=3, at which f is undefined.
Domain is and and .
f approaches 0 as x tends to negative or positive infinity, so the horizontal asymptote is .
to show horizontal asymptote location better,
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
a. Determine the domain of f
all real numbers except x≠3 or x≠-2
(-∞,-2) U (-2, 3) U (3,∞)
..
b. Determine the vertical asymptote(s), if any, of the graph of f
x=3 and x=-2
..
c. Determine the horizontal asymptote(s), if any, of the graph of f
y=0 or x-axis
..
number line:
<....-...-2...+...0...-...3..+...>
..
d, Sketch the graph of f
RELATED QUESTIONS
16. Check f (x) = x3 − x for symmetry with respect to the x-axis (f (x) =
−f (answered by jim_thompson5910)
Identify a function that is linear.
answer choices:
a) f(x) = 5x − 9
b) f(x) =... (answered by solver91311,richwmiller)
Given the parent functions f(x) = log3 (5x − 5) and g(x) = log3 (x − 1), what (answered by ewatrrr)
Question:
Write the function in the form f(x) = (x − k)q(x) + r for the given... (answered by Fombitz,stanbon)
Let f(x) = 2x^2 − 8x − 7.
Write the quadratic in vertex form
(that is y... (answered by josgarithmetic)
1. Let f(x) = 2x^2 − 8x − 7.
Write the quadratic in vertex form (that is y... (answered by stanbon)
Suppose that f(x)= (5x)/(x^2)− x − 6
a. Determine the domain of f
b.... (answered by josgarithmetic)
Use division to show that the indicated polynomial is a factor of the given polynomial... (answered by Edwin McCravy)
6. Let f =
{
| 4 − x^2 if x ≤ 2
| x^3 − 2x^2 + a, if x > 2
{... (answered by stanbon)