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
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.
math - PLEASE I NEED HELPPPPP.. i have many exercises like that, just want to ...
College Algebra - Here is the whole question... I have figured most of it out ...
Math - State domain, range, period, vertical asymptotes, zeros, symmetry and y-...
college algebra - for the given function f&g, find the following and state the ...
Algebra - I have some problems that I need help with please. Thanxs! Find the ...
maths - how do i find out the the equation of the line of symmetry for f(x)=ax^2...
math-please help,need quickly - find the slant asymptote of the graphof the ...
college algebra - 1. answer the following for the given quadratic function f(x)=...
algebra urgently need help - I have been working on these 2 problems and I think...
algebra need help soon - I have been working on these 2 problems and I think I ...