4.1
Define Inverse Variation.
The relationship between variables represented in the form y = k/x.
The ratio of two polynomial functions when the denominator is not equal to zero.
Define Rational Expression.
Expressions that look like fractions with variables in denominators or numerators.
Define Compound Fraction.
A fraction where the numerator or denominator contains at least one fraction.
Define Extraneous Solution.
The values found when solving an equation that aren't really solutions.
What are the vertical and horizontal asymptotes of the equation g(x)=4/(x+10) - 5(3)
x=-10 (vertical) and y=-15 (horizontal)
What are the horizontal asympotes for the graph of f(x)=(4x2-9)/(x2+2x-15)?
Whats the domain of (x2+8x+15) / (x2-x-12)?
x does not equal -3 or 4
Find LCM of 5x3y and 15x2y2.
15x3y3
solve for x: 1/x + 2/x=1/6
x=18
What is the parent function of the equation y= 25(4/3)/(x+9) - 21
What are the vertical asymptotes for the graph of f(x)=(4x2-9)/(x2+2x-15)?
x=-5, 3
Write an equivalent expression for (x3+4x-12x) / (x2+x-30).
x(x-2) / (x-5)
Simplify (2/x+6) / (1/y)
y(12+x) / 6x
solve 16/5+x + 1=6/5+x
x=25, x=-3
Using desmos graph y=1/(x-2) +6 and find the asymptotes. Then using the graph find the domain and range
The vertical asymptote is x=2 and the horizantal asymptote is y=6
The domain is x where x does not equal 2
the range is y where y does not equal 6
Identify the vertical asymptotes of f(x)=(5x4+6)/(x2-9x+18)?
x=6, 3
What is the quotient of (x3+3x2+3x+1) / (1-x2) and (x2+5x+4) / (x2+3x-4)?
-(x+1)
Find the Error and Solve: 5x/x+7n + 7/x then equals 5x/x+7 + 7(7)/x+7 which equals 5x+49/x+7
They're missing the correct x. Should have been x(x+7) as a common denominator. Correct answer: 5x2+7x+49 / x(x+7).
x^2/x+5 = 25/x+5
what is the extrenuous solution
x=5, -5
The frequency of a 26-inch guitar is 329.63 cycles per second. What is the frequency when the string is 6 inches?
F=1428.3966
Write a function that has vertical asymptotes at x=-7 and x=-10, and a horizontal asymptote at y=8.
(8x2)/(x2+17x+70)
What is the product of (x+2) / (x4-16) and x3+4x2-12x
x(x+6) / (x2+4)
Find the Difference of (x+1)/x2-6x-16 minus x+1/x2+6x+8.
12(x+1) / (x-8)(x+2)(x+4)
1/x-5 + x/x-3 = 2/x^2-8x+15
x=-1