SOLUTION: Given the functions f(x)=1/x-3; g(x)=5x/x+4 Find a.f(5)+g(-3) b.(f+g)(x) c.(g◦f)(x) d.(f◦g)(-2)

Algebra ->  Graphs -> SOLUTION: Given the functions f(x)=1/x-3; g(x)=5x/x+4 Find a.f(5)+g(-3) b.(f+g)(x) c.(g◦f)(x) d.(f◦g)(-2)      Log On


   

Question 770739: Given the functions f(x)=1/x-3; g(x)=5x/x+4
Find
a.f(5)+g(-3)
b.(f+g)(x)
c.(g◦f)(x)
d.(f◦g)(-2)
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
Given the functions f(x)=1/x-3; g(x)=5x/x+4
Find
a.f(5)+g(-3)
b.(f+g)(x)
c.(g◦f)(x)
d.(f◦g)(-2)
I do 2 parts here:

a) f(5)+f(-3) = 1/2 -15 = -14.5
b) (f+g)(x) = 1/x-3 + 5x/x+4 = ((x+4)+5x(x-3))/(x-3)(x+4) = (5x^2-14x)/(x-3)(x+4)
You can ask me more at: mthman@gmail.com
Thanks