Write as a Function of x square root of 1-x-4y=-5

$\sqrt{1 - x} - 4 y = - 5$

Step 1

Subtract $\sqrt{1 - x}$ from both sides of the equation.

$- 4 y = - 5 - \sqrt{1 - x}$

Step 2

Divide each term in $- 4 y = - 5 - \sqrt{1 - x}$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 5 - \sqrt{1 - x}$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 5}{- 4} + \frac{- \sqrt{1 - x}}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 5}{- 4} + \frac{- \sqrt{1 - x}}{- 4}$

Divide $y$ by $1$ .

$y = \frac{- 5}{- 4} + \frac{- \sqrt{1 - x}}{- 4}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{5}{4} + \frac{- \sqrt{1 - x}}{- 4}$

Dividing two negative values results in a positive value.

$y = \frac{5}{4} + \frac{\sqrt{1 - x}}{4}$

Combine the numerators over the common denominator.

$y = \frac{5 + \sqrt{1 - x}}{4}$

Step 3

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

$f (x) = \frac{5 + \sqrt{1 - x}}{4}$

Write as a Function of x square root of 1-x-4y=-5

Related Questions

Support LCMGCF.com by disabling your adblocker.