Solve f(x)=x/2-3xtext{at}x=2

$$f ( x ) = \frac { x } { 2 - 3 x } \text { at } x = 2$$

Solve for f, x

$$x=2$$

$$f=-\frac{1}{4}=-0.25$$

Solution Steps

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

$$f\times 2=\frac{2}{2-3\times 2}$$

Multiply -3 and 2 to get -6.

$$f\times 2=\frac{2}{2-6}$$

Subtract 6 from 2 to get -4.

$$f\times 2=\frac{2}{-4}$$

Reduce the fraction \frac{2}{-4} to lowest terms by extracting and canceling out 2.

$$f\times 2=-\frac{1}{2}$$

Divide both sides by 2.

$$f=\frac{-\frac{1}{2}}{2}$$

Express \frac{-\frac{1}{2}}{2} as a single fraction.

$$f=\frac{-1}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$f=\frac{-1}{4}$$

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$f=-\frac{1}{4}$$

The system is now solved.

$$f=-\frac{1}{4} x=2$$