Solve f^-1=(-5)-3/2

$$f ^ { - 1 } = \frac { ( - 5 ) - 3 } { 2 }$$

Solve for f

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

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2f^{-1}=-5-3$$

Subtract 3 from -5 to get -8.

$$2f^{-1}=-8$$

Divide both sides by 2.

$$f^{-1}=\frac{-8}{2}$$

Divide -8 by 2 to get -4.

$$f^{-1}=-4$$

Reorder the terms.

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

Variable f cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by f.

$$1=-4f$$

Swap sides so that all variable terms are on the left hand side.

$$-4f=1$$

Divide both sides by -4.

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

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

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