SOLUTION: Given the function g(x) = g(x)=4/(3x-5) answer the following and simplify completely. a. g(x − 3) b. State the domain of g(x) in interval notation

Algebra ->  Linear-equations -> SOLUTION: Given the function g(x) = g(x)=4/(3x-5) answer the following and simplify completely. a. g(x − 3) b. State the domain of g(x) in interval notation       Log On


   

Question 1155707: Given the function g(x) = g(x)=4/(3x-5) answer the following and simplify completely.
a. g(x − 3)
b. State the domain of g(x) in interval notation
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
g%28x%29=4%2F%283x-5%29

a.
g%28x-3%29+=4%2F%283%28x-3%29-5%29
g%28x-3%29+=4%2F%283x-9-5%29
g%28x-3%29+=4%2F%283x-14%29

b. State the domain of g%28x%29 in interval notation
domain:
if %283x-5%29=0=>3x=5=>x=5%2F3, exclude from domain
{ x element R : x%3C%3E5%2F3}
interval:
(-infinity,5%2F3) U (5%2F3,infinity)