6.1 Operations with Functions
6.2 Inverse relationships
6.3 nth Roots and Rational Exponents
6.5 Operations with Radical Expressions
6.6 Solving Radical Equations
100

Given that f(x) = x + 4 and g(x) = 4x2 + 3, what is (f-g)(x)?

-4x2 + x +1 

100

Find the inverse of f(x) = 5x - 2.

y = x - 2/5

100

Simplify each expression +/- square root of 64x16

8x4

100

6 divided by √ 3 -√ 2

6√ 3 + 6√ 2

100
_______ National Park is located in Wyoming, Montana, and Idaho, and is also the first National Park.
Yellowstone
200

Given that f(x) = 3x + 4 and g(x) = x + 5, what is (g/f)(x)?

x is not equal to -4/3
200

Find the inverse of g(x) = -3/6x + 5.

y = -3/6x + 10

200

Simplify each expression 3√512x7y18

8x2y6√ x

200

7√ 204x + 4√ 459x -8√ 140x

26√ 51y -16√ 35y

200
The ______ __ _______ was a gift from France to America to symbolize their liberty.
Statue of Liberty
300

Given that f(x) = x2 + 4 and g(x) = -3x2, what is (g* f)(x)?

9x4+72x2+144

300
Use COMPOSITIONS to verify that y = -2/3x - 2 and y = -3/2x + 3 are inverses.

Since y doesn't equal x they are not inverses. The real inverse is -3/2x - 3!

300

Evaluate 40962/4

Then write X4/7 in radical form.

64

7√x4

300

Simplify 3√-250p18q10t4

-5p6q3 t   3√ 2qt

Don't forget your negative sign!

300
_______ National Park is the biggest protected marsh in the US.
Everglades
400

Given f(x) = x + 5 and g(x) = -3x2 What is f o g (x)?

-3x2+5

400

Find inverse of x2 + 4, x greater than and equal to 0. You may graph the function on a graphing calculator or by hand to verify they are inverses.

The inverse is positive √ x-4. The graph should be on the right side. (remember y = x!)

400

Evaluate 1024-6/5

1/4096

400

(5√ 3 - 4√ 8)(5√ 3 - 4√ 8)

-160√ 6 +203

400
Edmund _______ was the first person to make it up and down Mount Everest
Hillary
500

Given g(x) = 4x2 + 5 and f(x) = 2x2 + 3 what is f og (4)?

885

500

Consider the function g(x) = x3/27 + 6. Determine whether the inverse of g is a function. Then find the inverse. 

y = 3 3√y-6,

if you got 9 3√ y-6 you are wrong because you must simplify what is inside the radicals first, since 162 and 27 have a factor of 27 which is 33 the inside would be 33 (y-6) under the cube root

500

Simplify x3/4 * x5/6

x23/24

so close but so far to 24/24

500

8-5√2 divided by √2 + 7

-43√ 2 -66 divided by 47

500
On August 4th, 2003, intense rainfall in Southwest Quebec triggered several flash floods in the ____ ______ Region.
Bois Francs
M
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