Solve {l}{g(x)=1/4(1-x)}{text{Oa.yes}}

$$\left. \begin{array} { l } { g ( x ) = \frac { 1 } { 4 } ( 1 - x ) } \\ { \text { O a. yes } } \end{array} \right.$$

Solve for x

$$x=\frac{1}{4g+1}$$

$$g\neq -\frac{1}{4}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{4} by 1-x.

$$gx=\frac{1}{4}-\frac{1}{4}x$$

Add \frac{1}{4}x to both sides.

$$gx+\frac{1}{4}x=\frac{1}{4}$$

Combine all terms containing x.

$$\left(g+\frac{1}{4}\right)x=\frac{1}{4}$$

Divide both sides by g+\frac{1}{4}.

$$\frac{\left(g+\frac{1}{4}\right)x}{g+\frac{1}{4}}=\frac{\frac{1}{4}}{g+\frac{1}{4}}$$

Dividing by g+\frac{1}{4} undoes the multiplication by g+\frac{1}{4}.

$$x=\frac{\frac{1}{4}}{g+\frac{1}{4}}$$

Divide \frac{1}{4} by g+\frac{1}{4}.

$$x=\frac{1}{4g+1}$$