Final answer:
The question requires finding the function f(x) given that f(2x+1) = 5x²+3 by manipulating the equation to express x in terms of the function's argument and substituting back.
Step-by-step explanation:
The question asks to determine the function f(x) given that f(2x+1) = 5x²+3.
To find f(x) for any real number x, we will need to solve for x in terms of the function's argument and then substitute back into the given function equation to find the original function f(x).
This is an example of function transformation commonly found in high school algebra or precalculus.