Compound Functions

Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y = 6(0.14)^x

• y = 6(1+14)^x

• y = 6(1.14)^x

• y = 6(0.86)^x

Find the total amount in the account to the nearest cent if the interest is compounded annually.

$2750 at 8% for 2 years

• $2200

• $3207.60

• $8910

• $3222.06

What amount would need to be invested at 4% interest compounded quarterly in order to have $4500 in 5 years?

• $5490.86

• $3366.58

• $3687.95

• $3903.18

Principal: $5000

Interest Rate: 3.75%

Time: 25 years

Compounded Monthly

State the future account balance.

• $12712.31

• $12,749.30

• $12,657.59

• $12550.84

Given b(x) = -4x + 5 c(x) = 3x² - 4x - 2 Find (b ∘ c)(–3) ​ (a)   = ​ (b)   ​ (c)   = ​ (d)  

Given p(x) = x² + 1 q(x) = 5x Perform each composition and match it to its value.

• 25

• (p ∘ q)(-2)

• 26

• (q ∘ p)(-2)

• 101

• (p ∘ q)(1)

• 10

• (q ∘ p)(1)

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

Mathematical Equivalence

OFF

• f(f(x))

• g(g(x))

• f(g(x))

• g(f(x))

What is f(g(x)) = ​ ​ ​ (a)   What is g(f(x)) = ​ (b)  

• x + 9

• x + 1

If f(x)= -3x+7 and g(x)=2x² - 8,

then f(g(x)) = _______

Mathematical Equivalence

ON