Find the Inverse g(x)=-3x

$g (x) = - 3 x$

Replace $g (x)$ with $y$ .

$y = - 3 x$

Interchange the variables.

$x = - 3 y$

Solve for $y$ .

Tap for more steps…

Rewrite the equation as $- 3 y = x$ .

$- 3 y = x$

Divide each term by $- 3$ and simplify.

Tap for more steps…

Divide each term in $- 3 y = x$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{x}{- 3}$

Cancel the common factor of $- 3$ .

Tap for more steps…

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{x}{- 3}$

Divide $y$ by $1$ .

$y = \frac{x}{- 3}$

Move the negative in front of the fraction.

$y = - \frac{x}{3}$

Solve for $y$ and replace with $g^{- 1} (x)$ .

Tap for more steps…

Replace the $y$ with $g^{- 1} (x)$ to show the final answer.

$g^{- 1} (x) = - \frac{x}{3}$

Set up the composite result function.

$h (g (x))$

Evaluate $h (g (x))$ by substituting in the value of $g$ into $h$ .

$h (- 3 x) = - \frac{- 3 x}{3}$

Cancel the common factor of $- 3$ and $3$ .

Tap for more steps…

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

$h (- 3 x) = - \frac{3 (- x)}{3}$

Cancel the common factors.

Tap for more steps…

Factor $3$ out of $3$ .

$h (- 3 x) = - \frac{3 (- x)}{3 (1)}$

Cancel the common factor.

$h (- 3 x) = - \frac{3 (- x)}{3 \cdot 1}$

Rewrite the expression.

$h (- 3 x) = - \frac{- x}{1}$

Divide $- x$ by $1$ .

$h (- 3 x) = x$

Since $h (g (x)) = x$ , $g^{- 1} (x) = - \frac{x}{3}$ is the inverse of $g (x) = - 3 x$ .

$g^{- 1} (x) = - \frac{x}{3}$

Find the Inverse g(x)=-3x

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Download our App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Download our
App from the store