Graph f(g(2))

$f (g (2))$

Step 1

Divide each term in $2 y x = 0$ by $2 x$ and simplify.

Divide each term in $2 y x = 0$ by $2 x$ .

$\frac{2 y x}{2 x} = \frac{0}{2 x}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y x}{2 x} = \frac{0}{2 x}$

Rewrite the expression.

$\frac{y x}{x} = \frac{0}{2 x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{y x}{x} = \frac{0}{2 x}$

Divide $y$ by $1$ .

$y = \frac{0}{2 x}$

Simplify the right side.

Cancel the common factor of $0$ and $2$ .

Factor $2$ out of $0$ .

$y = \frac{2 (0)}{2 x}$

Cancel the common factors.

Factor $2$ out of $2 x$ .

$y = \frac{2 (0)}{2 (x)}$

Cancel the common factor.

$y = \frac{2 \cdot 0}{2 x}$

Rewrite the expression.

$y = \frac{0}{x}$

Divide $0$ by $x$ .

$y = 0$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = 0$

$b = 0$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $0$

y-intercept: $(0, 0)$

Slope: $0$

y-intercept: $(0, 0)$

Step 3

Find two points on the line.

$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 0 \end{array}$

Step 4

Graph the line using the slope, y-intercept, and two points.

Slope: $0$

y-intercept: $(0, 0)$

$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 0 \end{array}$

Step 5

Graph f(g(2))

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