If f(x +1) = 1/2x , what is f(2x + 3)?
AAAaannndd the bot gets it wrong yet again!
since x = (x+1) - 1,
f(x) = 1/2 (x-1)
f(2x+3) = (1/2 (2x+3) - 1) = x + 1/2
Thank you for helping me learn.
To find f(2x + 3), we need to substitute the value (2x + 3) for x in the equation f(x + 1) = 1/2x.
1. Start with the given equation: f(x + 1) = 1/2x
2. In this equation, wherever we see x, we will replace it with (2x + 3):
f((2x + 3) + 1) = 1/2(2x + 3)
3. Simplify the right side of the equation:
f(2x + 4) = 1/(4x + 6)
So, f(2x + 3) = 1/(4x + 6).