Chapter 6

Operations on Functions

100

(f+g)(x)=f(x)+g(x)

What is addition.

200

(f-g)(x)=f(x)-g(x)

What is subtraction.

300

(f*g)(x)+f(x)*g(x)

What is multiplication.

400

(f÷g)(x)=f(x)÷g(x), g(x)≠0

What is division.

500

The result of one function are used to evaluate a second one.

What is composition of functions.

Inverse Functions and Relations

100

(1,5)(-5,8)(-5,-5)(4,0)

What is (5,1)(8,-5)(-5,-5)(0,4)

200

(1,1)(5,2)(15,-53)(67,76)

What is (1,1)(2,5)(-53,15)(76,67)

300

What is an Inverse Function.

What is f^-1_(x)

400

F(x)=2x+5

What is f(x)=2x-5

500

f(x)=25x-25

What is f(x)=25x+25

Square Root Functions and Inequalities

100

What is the domain and range of f(x)=x^1/2

What is

D= x ≥ 0

R= f(x) ≥ 0

200

If a function contains the square root of a variable, what is that function called?

What is square root function.

300

The square root function is a type of what?

What is radical function.

400

What is the domain and range of f(x)= (x+4)^1/2?

What is

D= x ≥ -4

R= f(x) ≥ 0

500

An inequality involving square roots is what?

What is Square root inequality.

Nth Root

100

Solve 4³?

What is 64.

200

Simplify (-16y⁴)^1/2

What is ±4iy²

300

Simplify ((x²+6)¹⁶)^1/2

What is (x²+6)⁸

400

Simplify -(400x³²y⁴⁰)^1/2

What is -20x¹⁶y²⁰

500

Simplify (196c⁶d⁴)^1/2

14c³d²

Operations with Radical Expressions

100

Simplify (32x⁸)²

What is (4x⁴)2^1/2

200

Simplify 5(-12ab⁴)^1/3 *3(18a²b²)^1/3

What is -90ab²

300

Simplify (98)^1/2 - 2(32)^1/2

What is -(2)^1/2

400

Binomials of the form a(b)^1/2 + c(d)^1/2 or a(b)^1/2 - c(d)^1/2 where a,b,c, and d are rational numbers are called.

What is conjugates.

500

2/ ((5)^1/2 - 1)

((5)^1/2 + 1) /2