SOLUTION: i am trying to find the domain and range of the following function F(x)=6x/(7x-49) 6x over 7x-49 {x element R : x!=7} {F element R : F!=6\/7}

Algebra ->  Functions -> SOLUTION: i am trying to find the domain and range of the following function F(x)=6x/(7x-49) 6x over 7x-49 {x element R : x!=7} {F element R : F!=6\/7}      Log On


   

Question 994053: i am trying to find the domain and range of the following function F(x)=6x/(7x-49)
6x over 7x-49
{x element R : x!=7}
{F element R : F!=6\/7}
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

F%28x%29=6x%2F%287x-49%29
domain:
will be all values of x except value that makes %287x-49%29=0 and that is
7%28x-7%29=0 =>x=7
so, domain is
{ x element R : x%3C%3E7 }

range:
F%28x%29=6x%2F%287x-49%29
F%28x%29=6x%2F7%28x-7%29...find derivative
F%28x%29=6%2F7
{ F%28x%29 or y element R : y%3C%3E6%2F7 }