Write as a Function of g g(x)=3x-4

$g (x) = 3 x - 4$

Step 1

Subtract $3 x$ from both sides of the equation.

$g x - 3 x = - 4$

Step 2

Factor $x$ out of $g x - 3 x$ .

Factor $x$ out of $g x$ .

$x g - 3 x = - 4$

Factor $x$ out of $- 3 x$ .

$x g + x \cdot - 3 = - 4$

Factor $x$ out of $x g + x \cdot - 3$ .

$x (g - 3) = - 4$

Step 3

Divide each term in $x (g - 3) = - 4$ by $g - 3$ and simplify.

Divide each term in $x (g - 3) = - 4$ by $g - 3$ .

$\frac{x (g - 3)}{g - 3} = \frac{- 4}{g - 3}$

Simplify the left side.

Cancel the common factor of $g - 3$ .

Cancel the common factor.

$\frac{x (g - 3)}{g - 3} = \frac{- 4}{g - 3}$

Divide $x$ by $1$ .

$x = \frac{- 4}{g - 3}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{4}{g - 3}$

Step 4

To rewrite as a function of $g$ , write the equation so that $x$ is by itself on one side of the equal sign and an expression involving only $g$ is on the other side.

$f (g) = - \frac{4}{g - 3}$

Write as a Function of g g(x)=3x-4

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