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Composition of Functions 1
Composition of Functions 2
Functions - Finding Unknown
Notation
Misc.
100

f(x) = 8

h(x) = (1/2)x + 20

Evaluate h(f(x)).

What is 24

100

h(x) = 3x

f(x) = x + 5

Evaluate f(h(2)).

What is 11

100

h(x) = 10/x

Find x when h(x) = 5.

What is x = 2

100
This does not mean multiplication.
What is parentheses
100
Using function notation, this represents the output of a function.
What is f(x)
200

f(x) = 4x + 10

g(x) = 3

Evaluate f(g(x)).

What is 22

200

h(x) = 5

g(x) = 2x + 6 

Evaluate g(h(x)).

What is 16

200

f(x) = x + 11

Find x when f(x) = 20.

What is x = 9

200
To read the equation, you say h of x equals 2x plus 1.
What is h(x) = 2x + 1
200

f(x) = (1/4)x

Evaluate f(32).

What is 8

300

g(x) = 2x2 + 4

h(x) = 3

Evaluate g(h(x)).

What is 22

300

g(x) = 7

f(x) = 3x + 3

Evaluate f(g(x)).

What is 24

300

g(x) = 4x + 2

Find x when g(x) = 3.

What is x = 1/4

300
This part of the composition is evaluated first.
What is inner parentheses.
300

f(x) = 20

g(x) = (1/4)x + 1

Evaluate g(f(x)).

What is 6

400

d(x) = 6

e(x) = |x - 17|

Evaluate e(d(x)).

What is 11

400

g(x) = 4

f(x) = x^2 + 2

Evaluate (f ○ g)(x).

What is 18

400

f(x) = x2 + 8

Find x when f(x) = 17.

What is x = ±3

400
This means you substitute the output of g(x) into f(x).
What is (f ○ g)(x) or f(g(x))
400

h(x) = 3x3 + 10 

g(x) = (1/2)x + 1

Evaluate h(g(2)).

What is 34

500

f(x) = 2

g(x) = (1/8)x3 + 5

Evaluate g(f(x)).

What is 6

500

d(x) = 4

h(x) = (1/2)x^2 + 13

Evaluate (h ○ d)(x).

What is 21

500

b(x) = (1/2)x2 + 3

Find x when b(x) = 11.

What is x = ±4

500
This notation tells you to find the input value of a function when the output value is 6.
What is f(x) = 6.
500

f(x) = (1/25)x2 + 4

g(x) = 2x + 6

Evaluate f(g(2)).

What is 8