SOLUTION: You're given f(x)=x^2-x-12 and g(x)= x-4. Perform each function operation and find the domain. f(x)-2g(x)? f(x)xg(x) f(x)/g(x) g(x)/f(x)

Algebra ->  Finance -> SOLUTION: You're given f(x)=x^2-x-12 and g(x)= x-4. Perform each function operation and find the domain. f(x)-2g(x)? f(x)xg(x) f(x)/g(x) g(x)/f(x)       Log On


   

Question 1131456: You're given f(x)=x^2-x-12 and g(x)= x-4. Perform each function operation and find the domain.
f(x)-2g(x)?
f(x)xg(x)
f(x)/g(x)
g(x)/f(x)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=x%5E2-x-12 and g%28x%29=+x-4
Perform each function operation and find the domain.
f%28x%29-2g%28x%29=x%5E2-x-12-2%28x-4%29
f%28x%29-2g%28x%29=x%5E2-x-12-2x%2B8
f%28x%29-2g%28x%29=x%5E2-3x-4

domain: R (all real numbers)
(-infinity,infinity)


f%28x%29%2Ag%28x%29=%28x%5E2-x-12%29%28x-4%29
f%28x%29%2Ag%28x%29=x%5E3-x%5E2-12x-4x%5E2%2B4x%2B48
f%28x%29%2Ag%28x%29=x%5E3-5x%5E2-8x%2B48

domain: R (all real numbers)
(-infinity,infinity)


f%28x%29%2Fg%28x%29=%28x%5E2-x-12%29%2F%28x-4%29
f%28x%29%2Fg%28x%29=%28x%5E2-4x%2B3x-12%29%2F%28x-4%29
f%28x%29%2Fg%28x%29=%28%28x%5E2-4x%29%2B%283x-12%29%29%2F%28x-4%29
f%28x%29%2Fg%28x%29=%28x%28x-4%29%2B3%28x-4%29%29%2F%28x-4%29
f%28x%29%2Fg%28x%29=%28%28x%2B3%29cross%28%28x-4%29%29%29%2Fcross%28%28x-4%29%29-> we can cancel x-4, but it will be used for a domain
f%28x%29%2Fg%28x%29=x%2B3

domain:
{ x element R : x%3C%3E4 }



g%28x%29%2Ff%28x%29=%28x-4%29%2F%28x%5E2-x-12%29

g%28x%29%2Ff%28x%29=cross%28%28x-4%29%29%2F%28%28x%2B3%29cross%28%28x-4%29%29%29
g%28x%29%2Ff%28x%29=1%2F%28x%2B3%29

domain:
{ x element R : x%3C%3E4 and x%3C%3E-3 }