Solve f:f(x)=x^5

$$f : f ( x ) = x ^ { 5 }$$

Solve for f

$$f\neq 0$$

$$x=0\text{ or }|x|=1$$

Steps for Solving Linear Equation

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

$$fx=fx^{5}$$

Subtract fx^{5} from both sides.

$$fx-fx^{5}=0$$

Reorder the terms.

$$-fx^{5}+fx=0$$

Combine all terms containing f.

$$\left(-x^{5}+x\right)f=0$$

The equation is in standard form.

$$\left(x-x^{5}\right)f=0$$

Divide 0 by x-x^{5}.

$$f=0$$

Variable f cannot be equal to 0.

$$f\in \emptyset$$

Solve for x

$$x=-1$$

$$x=0$$

$$x=1\text{, }f\neq 0$$