Advanced MathVery hardProduct of two rational expressions
Advanced Math practice question
For x > 3, which expression is equivalent to (x² − 9)/(x² − 6x + 9) · (x − 3)/(x + 3)?
- A. 1Correct
- B. (x + 3)/(x − 3)
- C. (x − 3)/(x + 3)
- D. x
Answer: A. 1
(x − 3)(x + 3)/(x − 3)² times (x − 3)/(x + 3): every factor cancels.
Why the other answers are wrong
- B. (x + 3)/(x − 3)
- This is the first fraction alone, reduced.
- C. (x − 3)/(x + 3)
- This is the second fraction alone.
- D. x
- No x survives the cancellation.
More Advanced Math questions
- Very hard
The function f(x) = x² + 6x + 5 is rewritten in the form f(x) = (x + a)² + b. What is the value of b? - Very hard
What is the solution to the equation 6/(x − 2) = 3? - Very hard
The polynomial p(x) = x³ − 4x has how many distinct real zeros? - Very hard
The polynomial p is defined by p(x) = x³ + ax² + bx − 12, where a and b are constants. If x − 2 is a factor of… - Very hard
The function f, defined by f(x) = 3000(1.331)^(x/12), gives the value, in dollars, of an investment x months a… - Very hard
In the xy-plane, the parabola y = x² − 4x + 7 and the line y = mx − 2, where m is a constant, intersect at exa…
Not affiliated with the College Board. SAT is a trademark of the College Board.