SOLUTION: hi everybody, i have a question from functions that i can't quite solve the question is use any value to make f(x)=0 and the formula is f(x) = 3x+2/2x+4 and the answer is x= -2/3 s

Algebra ->  Functions -> SOLUTION: hi everybody, i have a question from functions that i can't quite solve the question is use any value to make f(x)=0 and the formula is f(x) = 3x+2/2x+4 and the answer is x= -2/3 s      Log On


   

Question 867076: hi everybody, i have a question from functions that i can't quite solve the question is use any value to make f(x)=0 and the formula is f(x) = 3x+2/2x+4 and the answer is x= -2/3 so do anybody here have an ideal on how to solve this question? any help will be greatly appreciated.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+%283x%2B2%29%2F%282x%2B4%29 Start with the given function


0+=+%283x%2B2%29%2F%282x%2B4%29 Replace f(x) with 0 (since f%28x%29+=+0)


0%282x%2B4%29+=+3x%2B2 Multiply both sides by 2x+4.


0+=+3x%2B2 Multiply


3x%2B2+=+0 Flip the equation


3x+=+0-2 Subtract 2 from both sides.


3x+=+-2 Subtract


x+=+-2%2F3 Divide both sides by 3.