f ( x ) = x - 1 \quad [ 0,1 ]
Solve for f
f=\frac{x-0,1}{x}
x\neq 0
Solve for x
x=-\frac{1}{10\left(f-1\right)}
f\neq 1
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fx=x-0,1
Multiply 1 and 0,1 to get 0,1.
xf=x-\frac{1}{10}
The equation is in standard form.
\frac{xf}{x}=\frac{x-\frac{1}{10}}{x}
Divide both sides by x.
f=\frac{x-\frac{1}{10}}{x}
Dividing by x undoes the multiplication by x.
f=1-\frac{1}{10x}
Divide x-\frac{1}{10} by x.
fx=x-0,1
Multiply 1 and 0,1 to get 0,1.
fx-x=-0,1
Subtract x from both sides.
\left(f-1\right)x=-0,1
Combine all terms containing x.
\frac{\left(f-1\right)x}{f-1}=-\frac{0,1}{f-1}
Divide both sides by f-1.
x=-\frac{0,1}{f-1}
Dividing by f-1 undoes the multiplication by f-1.
x=-\frac{1}{10\left(f-1\right)}
Divide -0,1 by f-1.
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