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- 2. Express the rational function as a sum or difference of two simpler rational expressions. (Note: x3 − 1 = (x − 1)(x2 + x + 1).) 9x2 x3 − 1 PLEASE SHOW STEP BY STEPhow to find the x and y coordinates of the hole found in the rational function of y= x2+3x-18/x2-8x+15Express the given rational function in terms of partial fractions. Watch out for any preliminary divisions. (10x + 24) / (x^2 + 6x + 8)
- A rational expression, with a non-permissible value of x = 1, has been simplified to x. Determine a equivalent rational expression for the simplified value x.Why is the rational expression (x + 3)/(x2 - 4) undefined for x = 2 and x = -2 but defined for x = -3?1. A car travelled a distance d = 2x2 +5x +2 / 4x2 - 4 in time t = x2 + x -2/2x2 +x-1 determine the rate of the car, where d= rt 2. Determine all values that would make the rational expression undefined. a). 2m/ (m+3) (2m-5) b). 5(x-1)(2x+3)/x2 (3x+1)(x-4)
- Formulate the rational function given the following characteristics: Vertical asymptote x= 7 Horizontal asymptote y= 1 Vertical stretch of 5Express the rational function as a sum or difference of two simpler rational expressions. (Note: x3 − 1 = (x − 1)(x2 + x + 1).) 3x2 x3 − 1The polynomial f (x) leaves the remainder x + 2 at the division with x ^ 2 + 2x-3 and leaves the remainder 1 at the division with x + 2. What residue is obtained when f (x) divided by x ^ 3 + 4x ^ 2 + x-6?
- Write an equation for a rational function with the given characteristics. Vertical asymptotes at x = −2 and x = 4, x-intercepts at (−3, 0) and (1, 0)horizontal asymptote at y = −2Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = 1 x intercepts at x = 5 and x = -2 Horizontal asymptote at y = 2 y =This solution was very helpful. I see the part I was missing was shifting the index from n=1 to n=0, so that it is possible to create the rational function in the form a/(1-r). Is there an easy procedure to go from n=1 to n=0 without working out the terms to see what the new sum is? I have seen the generalized procedure for shifting from any n to any other n, but is there a quick way to go from n=1 to n=0 for a power series?