In the expression cfrac - x-1 - x-1 - each x is replaced by cfrac - x-1 - x-1 - - The resulting expression- evaluated x-cfrac - 1 - 2 - equals-3-31dfrac12

Question

In the expression cfrac - x-1 - x-1 -  each x is replaced by cfrac - x-1 - x-1 - - The resulting expression- evaluated x-cfrac - 1 - 2 -  equals-3-31dfrac12

Toppr Admin · Accepted Answer

Expression is x-1x-x2212-1-yIf x is replaced by x-1x-x2212-1-x27F9-x-1x-x2212-1-1x-1x-x2212-1-x2212-1-x27F9-x-1-x-x2212-1x-1-x2212-x-1-2x2The resultant expression is x-When x-12The value is 12

In the expression $\frac{x + 1}{x - 1}$ each $x$ is replaced by $\frac{x + 1}{x - 1}$ . The resulting expression, evaluated for $x = \frac{1}{2}$ equals:
$3$
$- 3$
$1$
$\frac{1}{2}$

Expression is $\frac{x + 1}{x - 1} = y$
If $x$ is replaced by $\frac{x + 1}{x - 1}$
$⟹ \frac{\frac{x + 1}{x - 1} + 1}{\frac{x + 1}{x - 1} - 1}$
$⟹ \frac{x + 1 + x - 1}{x + 1 - x + 1} = \frac{2 x}{2}$
The resultant expression is $x$ .
When $x = \frac{1}{2}$
The value is $\frac{1}{2}$

In the expression x+1x−1 each x is replaced by x+1x−1. The resulting expression, evaluated for x=12 equals:3−3112

Expression is x+1x−1=yIf x is replaced by x+1x−1⟹x+1x−1+1x+1x−1−1⟹x+1+x−1x+1−x+1=2x2The resultant expression is x.When x=12The value is 12

In the expression $\frac{x + 1}{x - 1}$ each $x$ is replaced by $\frac{x + 1}{x - 1}$ . The resulting expression, evaluated for $x = \frac{1}{2}$ equals:
$3$
$- 3$
$1$
$\frac{1}{2}$

Expression is $\frac{x + 1}{x - 1} = y$
If $x$ is replaced by $\frac{x + 1}{x - 1}$
$⟹ \frac{\frac{x + 1}{x - 1} + 1}{\frac{x + 1}{x - 1} - 1}$
$⟹ \frac{x + 1 + x - 1}{x + 1 - x + 1} = \frac{2 x}{2}$
The resultant expression is $x$ .
When $x = \frac{1}{2}$
The value is $\frac{1}{2}$