Question 1012855

Find f+g, f-g and f/g. Determine the domain for each function.

{{{f(x)=4x+8}}}, {{{g(x)=x-5}}}

a. 
{{{(f+g)(x)=4x+8+x-5}}}

{{{(f+g)(x)=5x+3}}}

b.What is the domain of f+g:

all real numbers: { {{{x}}} element {{{R}}} }


c.

{{{(f-g)(x)=4x+8-(x-5)}}}
{{{(f-g)(x)=4x+8-x+5}}}
{{{(f-g)(x)=3x+13}}}

d. What is the domain of f-g

all real numbers: { {{{x}}} element {{{R}}} }

e. 
{{{(fg)(x)=(4x+8)(x-5)}}}
{{{(fg)(x)=4x^2-20+8x-40}}}
{{{(fg)(x)=4x^2+8x-60}}}

f. What is the domain of fg:

all real numbers: { {{{x}}} element {{{R}}} }


g. 
{{{(f/g)(x)=(4x+8)/(x-5)}}}
{{{(f/g)(x)=4(x+2)/(x-5)}}}

h. What is the domain of f/g:

{ {{{x}}} element {{{R}}} : {{{x<>5}}} }