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Inverse Functions
Operation of Functions
Composition of Functions
Riddles
100

find the inverse of f(x) = x + 5

f-1(x) = x - 5

100

if f(x) = 3x +2, what is f(2)?

f(2) = 8

100

if f(x) = x - 13 find f(20) 

f(20) = 7

100

What is red and smells like blue paints?

Red paint

200

find the inverse of  f(x) = 3x + 9

f-1(x) = x/3 - 3  or (x-9)/3

200

if f(5) and g(x) = x+1 find (f+g)(x)

(f+g)(x) = 6

200

if h(x) = x+2x2 and j(x) = 5 find j(h(x))

j(h(x)) = 5


200

What can you catch, but not throw?

A cold

300

find the inverse of g(x) = 9x + 12

g-1(x) = x/9 - 4/3 or (x-12)/9

300

if f(x)=x+9 and g(x) = 3x+3 find (f+g)(x)

(f+g)(x) = 4x + 12 

x = -3 

300

if f(x) = 3x+2 and g(x) = x+5 find f(g(x))

***final answer should be x=...

f(g(x)) = 3x + 17

x = -17/3

300

What asks no questions but must be answered?

A phone

400

find the inverse of h(x) = x/2 + 5

h-1(x) = 2x -10

400

if f(x) = x and g(x) = x2 + 3, find f(x)g(x)


**does not need to be in x= form for your final answer **


f(x)g(x) = x3+3x

400

if g(x) = 3x+3 and h(x) = x+5 and j(x)= x+1

find g(h(j(x)))

**final answer should be x=...

g(h(j(x))) = 3x +21

x = -7


400

What has one head, one foot, and four legs?

A bed

500

find the inverse of f(x) - 8 = x + 2

f-1(x)= x - 10


500

if f(x) = (x+2) and g(x) = (x+2)(x-2) find f/g

f/g = 1/x-2


500

if h(x) = x - 3  and j(x) = 2x2+3x+1 find h(j(x))

***final answer should be x=...

x = -2 and x = 1/2

500

What runs around the yard without moving?

A fence