Solve f(x)=3x-4,text{para}x=-5

$$f ( x ) = 3 x - 4 , \text { para } x = - 5$$

Solve for f, x

$$x=-5$$

$$f = \frac{19}{5} = 3\frac{4}{5} = 3.8$$

Solution Steps

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

$$f\left(-5\right)=3\left(-5\right)-4$$

Multiply 3 and -5 to get -15.

$$f\left(-5\right)=-15-4$$

Subtract 4 from -15 to get -19.

$$f\left(-5\right)=-19$$

Divide both sides by -5.

$$f=\frac{-19}{-5}$$

Fraction \frac{-19}{-5} can be simplified to \frac{19}{5} by removing the negative sign from both the numerator and the denominator.

$$f=\frac{19}{5}$$

The system is now solved.

$$f=\frac{19}{5} x=-5$$