Function Notation
Function Fun
Simplifying Functions
Exponential
Composite Functions
100

Evaluate f(x) = x + 5, when f(10)

f(x) = 15

100

f(x) = x3 + 4 g(x) = 2x - 12 h(x) = x2 - 2x + 3 Evaluate f(1)

f(x) = 5

100

f(x) = 2x + 1 Find f(x-1)

f(x-1) = 2x-1

100

Evaluate the value of a car after 5 years. V(t) = 20,000(0.82)t V(5) =

The value of the car is $7414.80 after 5 years.

100

Given  f(x) = (x - 3)2 + 5   and g(x) = 3x - 5 

Evaluate g(f(5)).

Answer: 22

200

Evaluate f(x) = 3x - 2, when f(5)

f(x) = 13

200

f(x) = x3 + 4 g(x) = 2x - 12 h(x) = x2 - 2x + 3 Evaluate g(-2)

g(x) = -16

200

f(x) = -4x - 2 Find f(-x).

f(-x) = 4x-2

200

Evaluate the value of a car after 10 years. V(t) = 30,000(0.82)t V(10) =

the value of the car is $4123.44 after 10 years.

200

Given f(x) = (x-3)2 + 4  and g(x) = 3x - 6, find f(g(-6)).

Answer: 733

300

Evaluate f(x) = 2x - 6, when f(-10)

f(x) = -26

300

f(x) = x3 + 4 g(x) = 2x - 12 h(x) = x2 - 2x + 3 Evaluate f(-2)

f(x) = -4

300

f(x) = x2 + 1 Find -f(x).

-f(x) = -x2-1

300

A car is gaining an 8% value every year. Evaluate the value of a classic car after 5 years, if the original cost was $20,000. 


The value of a classic car appreciates to $29,386.56 after 5 years.

300

Given: f(x) = 3x2 - 6x + 5, and g(x) = 2x, 

find g(f(y - 2)).

Answer = 6y2 - 32y + 58

400

Evaluate g(x) = x2 + 5, when g(2)

f(x) = 9

400

f(x) = x3 + 4 g(x) = 2x - 12 h(x) = x2 - 2x + 3 Evaluate h(-3)

h(x) = 18

400

g(x) = x2 - 10 Find g(x+3)

g(x+3) = x2+6x-1

400

A car is bought for $29,000 and it depreciates at a rate of 25% every year. What will be the car's value after 10 years, rounded to the nearest dollar?

The value will be $1,633.

400

Given: f(x) = 3x2 - 6x + 5, and g(x) = 2x - 4, 

find g(f(y - 2)).

Answer = 6y2 - 32y + 54

500

Evaluate g(x) = x2 - 10, when g(-5)

f(x) = 15

500

f(x) = x3 + 4 g(x) = 2x - 12 h(x) = x2 - 2x + 3 Evaluate g(3)

g(x) = -6

500

g(x) = x2 + 5 Find g(x-2)

g(x-2) = x2-4x+9

500

An investment of $10,000 grows by a 3% rate for the first 5 years. Then, it decreases by 5% for the next 3 years. What will be the balance after the 8 years, rounded to the nearest dollar?

Answer: $9,939.

(10000 x 1.035) x 0.953

500

Given: f(x) = (x-3)2 + 2, and g(x) = -3x - 1, 

find g(f(x)).

Answer: -3x2 + 8x - 34

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