x*f(x)+f^2(x)=4x

f(x)=?

asked by guest
on Feb 01, 2025 at 1:26 am



You asked:

Given xfx+f2x=4xx f x + {f}^{2} x = 4 x evaluate the expression fxf x.

MathBot Answer:

fx=4xf+xf x = \frac{4 x}{f + x}

f2x+x2f=4xfx(f+x)=4xfx=4xf+x\begin{aligned}f^{2} x + x^{2} f &= 4 x\\f x \left(f + x\right) &= 4 x\\f x&=\frac{4 x}{f + x}\end{aligned}

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