Radical Functions

Inverses

100

Given the following ordered pairs, what are the ordered pairs of the inverse?

(-1,3) , (-2,2),  (4,2), (2,-3)

(3,-1), (2, -2), (2,4), (-3,2)

200

Draw an example of a horizontal line test and write your conclusion.

Is / is not invertible function

300

What is the domain/range of the function f(x) = -2sqrt(x-2) + 2

D: x>=2

R: y<=2

400

Given y=2x² - 2, what is the inverse of this function?

y=sqrt((x+2)/2)

500

f(x)=2x²-4   and g(x) =sqrt((x+4)/2)

Evaluate f(g(x)) and what does it tell you?

x, inverses

Solving equations

100

sqrt(x) = 3

x=9

200

(x-3)^1/2=4

x=19

300

3(2x)^1/3 = 6

x=4

400

4-5(x)^1/2=-16

x=2

500

sqrt(x+4) - x = 4

x=-4 x=-3

Simplifying Radicals

100

sqrt(16x⁴)

4x²

200

cbrt(8x⁹)

2x²

300

(16x⁸)^1/3

2x²(2x²)^1/3

400

(75x⁷y⁴)^1/2

5|x³|y²(3x)^1/2

Radical Algebra

100

4sqrt(3x) + 5sqrt(3x)

9sqrt(3x)

200

2sqrt(x) -3sqrt(2x)

2sqrt(x)-3sqrt(2x)

300

(16x²y⁴/64x⁴y⁴)^1/2

1/2x

400

3sqrt(6x) * 4sqrt(3x²)

36x*sqrt(2x)