Question

Given $g$ and $h$ as defined below, determine $g + h$, $g - h$, $gh$, and $\frac{g}{h}$. Using interval notation, report the domain of each result. $g(x) = 4 + \sqrt{x}$ and $h(x) = -2x + 18$ (a) $(g + h)(x) = $ Domain of $(g + h)(x)$: (b) $(g - h)(x) = $ Domain of $(g - h)(x)$: (c) $(gh)(x) = $ Domain of $(gh)(x)$: (d) $(\frac{g}{h})(x) = $ Domain of $(\frac{g}{h})(x)$:

          Given $g$ and $h$ as defined below, determine $g + h$, $g - h$, $gh$, and $\frac{g}{h}$. Using interval notation, report the domain of each result.

$g(x) = 4 + \sqrt{x}$ and $h(x) = -2x + 18$

(a) $(g + h)(x) = $

Domain of $(g + h)(x)$:

(b) $(g - h)(x) = $

Domain of $(g - h)(x)$:

(c) $(gh)(x) = $

Domain of $(gh)(x)$:

(d) $(\frac{g}{h})(x) = $

Domain of $(\frac{g}{h})(x)$:

Given g and h as defined below, determine g + h, g - h, gh, and (g)/(h). Using interval notation, report the domain of each result.

g(x) = 4 + √(x) and h(x) = -2x + 18

(a) (g + h)(x) =

Domain of (g + h)(x):

(b) (g - h)(x) =

Domain of (g - h)(x):

(c) (gh)(x) =

Domain of (gh)(x):

(d) ((g)/(h))(x) =

Domain of ((g)/(h))(x):

Added by Evelyn C.

Elementary and Intermediate Algebra

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

Instant Answer

Solved by Expert Amy Jiang

08/27/2020

Step 1

In this case, we need to determine the domain for each given function. Show more…

Show all steps

Thanks for your feedback!

Texts: 1. The domain of each result: gx = 4 + x and hx = -2x + 18 y + 6e 2. Domain of g + h 3. bg - hx = 4. Domain of g - h 5. gh 6. Domain of (gh) 7. Domain o