Question

Consider the function equation defined by equation.

09 Jan 2026
Answer :
Word Count : 119
Consider the function ( f:\mathbb{R}\setminus{-1}\to\mathbb{R} ) defined by [ f(x)=\frac{2x+1}{x+1}. ] To find the fixed points of the function, solve the equation ( f(x)=x ): [ \frac{2x+1}{x+1}=x. ] Multiplying both sides by (x+1) (with (x\neq -1)), [ 2x+1=x(x+1)=x^2+x. ] Rearranging, [ x^2+x-2x-1=0, ] [
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