Question

10. Let $f(x) = x^2 - 2x - 3$ and $g(x) = 2x^2 - 3x - 5$. a. Find (and simplify) $h(x) = f(x) + g(x)$ and its domain. b. Find (and simplify) $R(x) = \frac{f(x)}{g(x)}$ and its domain.

Name: 10 let fx x2 2x 3 and gx 2x2 3x 5 a find and simplify hx fx gx and its domain b find and simplify rx fracfxgx and its domain 57869
Uploaded: 2020-05-18T14:42:29-08:00
Duration: 2 min 56 s
Channel: Charles Carter
Description: 10 let fx x2 2x 3 and gx 2x2 3x 5 a find and simplify hx fx gx and its domain b find and simplify rx fracfxgx and its domain 57869

          10. Let $f(x) = x^2 - 2x - 3$ and $g(x) = 2x^2 - 3x - 5$.
a. Find (and simplify) $h(x) = f(x) + g(x)$ and its domain.
b. Find (and simplify) $R(x) = \frac{f(x)}{g(x)}$ and its domain.

$10 let fx x2 2x 3 and gx 2x2 3x 5 a find and simplify hx fx gx and its domain b find and simplify rx fracfxgx and its domain 57869$

Added by Juan Francisco S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Charles Carter

05/18/2020

Step 1

$h(x) = (x^2 - 2x - 3) + (2x^2 - 3x - 5)$ $h(x) = x^2 - 2x - 3 + 2x^2 - 3x - 5$ $h(x) = (x^2 + 2x^2) + (-2x - 3x) + (-3 - 5)$ $h(x) = 3x^2 - 5x - 8$ Show more…

Show all steps

Thanks for your feedback!

10. Let $f(x) = x^2 - 2x - 3$ and $g(x) = 2x^2 - 3x - 5$. a. Find (and simplify) $h(x) = f(x) + g(x)$ and its domain. b. Find (and simplify) $R(x) = \frac{f(x)}{g(x)}$ and its domain.