Find the x and y Intercepts f(x)=(5+2x)/(1+x)

$f (x) = \frac{5 + 2 x}{1 + x}$

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = \frac{5 + 2 x}{1 + x}$

Solve the equation.

Set the numerator equal to zero.

$5 + 2 x = 0$

Solve the equation for $x$ .

Subtract $5$ from both sides of the equation.

$2 x = - 5$

Divide each term in $2 x = - 5$ by $2$ and simplify.

Divide each term in $2 x = - 5$ by $2$ .

$\frac{2 x}{2} = \frac{- 5}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 5}{2}$

Divide $x$ by $1$ .

$x = \frac{- 5}{2}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{5}{2}$

x-intercept(s) in point form.

x-intercept(s): $(- \frac{5}{2}, 0)$

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = \frac{5 + 2 (0)}{1 + 0}$

Solve the equation.

Remove parentheses.

$y = \frac{5 + 2 (0)}{1 + 0}$

Simplify $\frac{5 + 2 (0)}{1 + 0}$ .

Simplify the numerator.

Multiply $2$ by $0$ .

$y = \frac{5 + 0}{1 + 0}$

Add $5$ and $0$ .

$y = \frac{5}{1 + 0}$

Simplify the expression.

Add $1$ and $0$ .

$y = \frac{5}{1}$

Divide $5$ by $1$ .

$y = 5$

y-intercept(s) in point form.

y-intercept(s): $(0, 5)$

List the intersections.

x-intercept(s): $(- \frac{5}{2}, 0)$

y-intercept(s): $(0, 5)$

Find the x and y Intercepts f(x)=(5+2x)/(1+x)

Related Questions

Support LCMGCF.com by disabling your adblocker.