# mth

posted by .

PLEASE I NEED HELPPPPP.. i have many exercises like that, just want to know where to start thanks.

f(x)= x^3+2x^2-x-2 / x^2+x-6

find:
1. domain
2. symmetry or not
3. determine if f(x)is: a)in lowest trem b)proper/improper
4. x-intercepts, y-intercepts
5. zeros of f(x) and their multiplicity
6. vertical asymptotes
7. ablique/horizontal asymtotes

• mth -

We have a fraction in which a cubic Eq is the numerator and a Quadratic Eq is the denominator. Let's factor both.

Find a value of X that gives 0 out when
plugged into the cubic Eq. It was found
by trial and error that -2 will give
an output of 0 and,therefore, satisfies
the Eq.
X = -2,
X + 2 = 0. Using long-hand division,
divide the cubic Eq by x + 2 and get:
X^2 - 1.
(X + 2)(X^2 - 1) = 0,
(X + 2)(X + 1)(X - 1) = 0 = numerator.
Factor the denominator and get:
(X - 2)(X + 3) = 0. Therefore,

F(x)=(X + 2)(X + 1)(X -1)/(X -2)(X + 3)
The domain = all real values of x
that does not make the denominator = 0.
2 and -3 will make the denominator = 0
and are outside the domain.

1. So the domain = all real values of X
except 2 and -3.
3. a. Not in lowest term as given.
b. Proper fraction.

4. X-Ints = -2, -1 , 1 = roots = solu.
When X = 0, F(0) = -2/-6 = 1/3 = Y-int.

5. Zeroes = X-Ints = -2,-1, and 1.

## Similar Questions

1. ### maths

how do i find out the the equation of the line of symmetry for f(x)=ax^2+bx+c ?
2. ### Algebra

I have some problems that I need help with please. Thanxs! Find the domain of the function. 1. f(x)=-8x-2 Given fuctions f and g, perform the indicated operations. 2. f(x)=4x-9 g(x)=7x-3 find f - g. Given the functions f and g, determine …
3. ### Math

State domain, range, period, vertical asymptotes, zeros, symmetry and y-intercept of y = -2tan(3x + 180°) + 3 I just need to know if there is a formula to find the vertical asymptotes, symmetry, and zeros or do I have to solve it …
4. ### Math

Find the requested function and state its domain: f(x)= 4x+3 g(x)=4x-5 Find f/g and its domain. So I did 4x+3/4x-5, so the 4x's cancel out and 3/-5 is left. So my answer is 3/-5. Is this correct Now I just need to find the domain which …
5. ### math

PLEASE I NEED HELPPPPP.. i have many exercises like that, just want to know where to start thanks. f(x)= x^3+2x^2-x-2 / x^2+x-6 find: 1. domain 2. symmetry or not 3. determine if f(x)is: a)in lowest trem b)proper/improper 4. x-intercepts, …
6. ### College Algebra

Here is the whole question... I have figured most of it out but I need help with part (b)(f) and (g)... Maybe you also check the work I have already done Given the following function, find: (a) vertex, (b) axis of symmetry, (c) intercepts, …