The right answer is C. never
The quotient of two algebraic expressions is a<em> fractional expression.
</em> Moreover, the quotient of two <em>polynomials</em> such as:
is called a rational expression. So according to this definition rational expressions does not contain logarithmic functions. In fact, a rational expression is an expression that is the ratio of two polynomials like this:
Start with
We observe that both fractions are not defined if 
. So, we will assume 
.
We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:
We multiply both sides by 
:
We move everything to one side and solve the quadratic equation:
We check the solution:
which is true
7/10 > 3/8
I found this by first finding a common denominator, so for this it will be 40. 10 can go into 40 four times, so you do 7x4 and that is 28, so 7/10 is 28/40.
3/8 is 15/40 because 8 goes into 40 five times, so you do 5x3 which is 15, so the fraction is 15/40. 15/40 is less than 28/40 because 28 > 15
I graphed the function.
Remember, f(x)= y.
y= -2x^2-16x-34
The vertex was at point (-4,-2)
I hope this helps!
~kaikers
