Find Three Ordered Pair Solutions f(x)=3 square root of x-1

$f (x) = 3 \sqrt{x - 1}$

Step 1

Write $f (x) = 3 \sqrt{x - 1}$ as an equation.

$y = 3 \sqrt{x - 1}$

Step 2

Choose any value for $x$ that is in the domain to plug into the equation.

Step 3

Choose $0$ to substitute in for $x$ to find the ordered pair.

Simplify $3 \sqrt{(0) - 1}$ .

Subtract $1$ from $0$ .

$y = 3 \sqrt{- 1}$

Rewrite $\sqrt{- 1}$ as $i$ .

$y = 3 i$

Use the $x$ and $y$ values to form the ordered pair.

$(0, 3 i)$

Step 4

Choose $1$ to substitute in for $x$ to find the ordered pair.

Simplify $3 \sqrt{(1) - 1}$ .

Subtract $1$ from $1$ .

$y = 3 \sqrt{0}$

Rewrite $0$ as $0^{2}$ .

$y = 3 \sqrt{0^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$y = 3 \cdot 0$

Multiply $3$ by $0$ .

$y = 0$

Use the $x$ and $y$ values to form the ordered pair.

$(1, 0)$

Step 5

Choose $2$ to substitute in for $x$ to find the ordered pair.

Simplify $3 \sqrt{(2) - 1}$ .

Subtract $1$ from $2$ .

$y = 3 \sqrt{1}$

Any root of $1$ is $1$ .

$y = 3 \cdot 1$

Multiply $3$ by $1$ .

$y = 3$

Use the $x$ and $y$ values to form the ordered pair.

$(2, 3)$

Step 6

These are three possible solutions to the equation.

$(0, 3 i), (1, 0), (2, 3)$

Step 7