The exercise: If f(x) = x - 2x^2
What is then f(1/(2x+1))
Answer should be (2x-1)/(2x+1)^2
I think it is very difficult. Probably, there is a rule which I don't know about. I do something like this:
1/(2x+1) - 2(1/(2x+1))(1/(2x+1))
1 / (2x+1) - 2(1 / (2x^2+4x+1))
How to continue from here? And should I have another approach?
I am very thankful for help or guidance on exact what subjects I should study to solve these "simple" algebraic things. Peace!
What is then f(1/(2x+1))
Answer should be (2x-1)/(2x+1)^2
I think it is very difficult. Probably, there is a rule which I don't know about. I do something like this:
1/(2x+1) - 2(1/(2x+1))(1/(2x+1))
1 / (2x+1) - 2(1 / (2x^2+4x+1))
How to continue from here? And should I have another approach?
I am very thankful for help or guidance on exact what subjects I should study to solve these "simple" algebraic things. Peace!