Question

Select the correct equation for the following graph: $f(x) = \frac{2(x+3)}{(x-2)(x+1)}$ $f(x) = \frac{(x-2)(x+1)}{2(x+3)}$ $f(x) = \frac{(x+2)(x-1)}{2(x-3)}$ $f(x) = \frac{2(x-3)}{(x+2)(x-1)}$

Name: select the correct equation for the following graph fx frac2x3x 2x1 fx fracx 2x12x3 fx fracx2x 12x 3 fx frac2x 3x2x 1 04655
Uploaded: 2024-02-16T22:45:38-08:00
Duration: 1 min 54 s
Channel: Ma. Theresa Alin
Description: select the correct equation for the following graph fx frac2x3x 2x1 fx fracx 2x12x3 fx fracx2x 12x 3 fx frac2x 3x2x 1 04655

          Select the correct equation for the following graph:
$f(x) = \frac{2(x+3)}{(x-2)(x+1)}$
$f(x) = \frac{(x-2)(x+1)}{2(x+3)}$
$f(x) = \frac{(x+2)(x-1)}{2(x-3)}$
$f(x) = \frac{2(x-3)}{(x+2)(x-1)}$

$select the correct equation for the following graph fx frac2x3x 2x1 fx fracx 2x12x3 fx fracx2x 12x 3 fx frac2x 3x2x 1 04655$

Added by Jose Miguel H.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Ma. Theresa Alin

02/16/2024

Step 1

This means the denominator must have factors of $(x+2)$ and $(x-1)$. The graph has a zero at $x=3$. This means the numerator must have a factor of $(x-3)$. Therefore, the equation must be of the form $f(x) = \frac{c(x-3)}{(x+2)(x-1)}$ for some constant $c$. The Show more…

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Select the correct equation for the following graph: $f(x) = \frac{2(x+3)}{(x-2)(x+1)}$ $f(x) = \frac{(x-2)(x+1)}{2(x+3)}$ $f(x) = \frac{(x+2)(x-1)}{2(x-3)}$ $f(x) = \frac{2(x-3)}{(x+2)(x-1)}$