Square Root Inverses Equations

How do you set-up f(g(x) from the given two functions?

• f(g(x)) = (√(x - 5)² + 5

• f(g(x)) = √ (x² + 5) - 5

• f(g(x)) = √ (x² + 5 - 5)

• f(g(x)) = (√(x - 5 + 5)²

What is it called when you use the identity property to remove radicals from the denominator?

• Rationalization

• Radicalization

• Exponentalization

• Identicalization

Which function matches the graph shown?

• y = - √(x + 1)

• y = √(x + 1)

• y = - √(x) - 1

• y = - √(x) + 1

What is the square root function shown in the graph?

• y = √(x + 5)  +  1

• y = √(x - 5)  +  1

• y = -√(x + 1)  +  5

• y = √(x - 1)  -  5

Which of these equations shifts a radical equation right 5 times and down once?

• y = √(x - 5) - 1

• y = √(x + 5) - 1

• y = √(x - 5) + 1

• y = √(x + 5) + 1

x² = 121

• 11,-11

• 11

• -11

• 10,-10

x² = 36

• 6

• 18

• 6, -6

• -6

x² = 225

• 5,-5

• 15

• -15,15

• -5

What type of function is shown?

• cube root

• square root

• logarithm

• exponential

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• (-∞, 0)

• [ 0, ∞)