Solve f(x)=x/2-1text{for}x=-11

$$f ( x ) = \frac { x } { 2 } - 1 \text { for } x = - 11$$

Solve for f, x

$$x=-11$$

$$f=\frac{13}{22}\approx 0.590909091$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$f\left(-11\right)=\frac{-11}{2}-1$$

Fraction \frac{-11}{2} can be rewritten as -\frac{11}{2} by extracting the negative sign.

$$f\left(-11\right)=-\frac{11}{2}-1$$

Subtract 1 from -\frac{11}{2} to get -\frac{13}{2}.

$$f\left(-11\right)=-\frac{13}{2}$$

Divide both sides by -11.

$$f=\frac{-\frac{13}{2}}{-11}$$

Express \frac{-\frac{13}{2}}{-11} as a single fraction.

$$f=\frac{-13}{2\left(-11\right)}$$

Multiply 2 and -11 to get -22.

$$f=\frac{-13}{-22}$$

Fraction \frac{-13}{-22} can be simplified to \frac{13}{22} by removing the negative sign from both the numerator and the denominator.

$$f=\frac{13}{22}$$

The system is now solved.

$$f=\frac{13}{22} x=-11$$