Function Composition
f(x) = x + 5
g(x) = 4x - 6
what is f(g(x))?
House was purchased at $212,000. Value increased by 12% each year.
The value of the house at any moment is what % of the value of the house exactly 1 yr earlier?
112%
7^x=71
x = ?
log_7(71)
Given the points along f(x), (-1,-1), (0,0), and (1,1) and the points along g(x), (-1,2), (0,2), and (1,0)
Evaluate g(f(0))
2
given the points, (2.39,5.5), (3.39,8.8) solve
a. f(3.39)/f(2.39)
b. what is the 1 unit growth factor of f?
a. 1.6
b. 1.6
v = 5(1.9)^t
Write an equation for t
t = log _1.9 (v/5)
f(x) = (x - 4)^2
g(x) = 5x + 2
Evaluate f(g(5))
529
A 9 in. flower was planted. Height increases by 15% each day.
a.write a function f that determines the height of flower in terms of t since it was planted
b. what is f(1)/f(0)?
f(t) = 9(1.15)^t
f(1)/f(0) = 1.15
log(37) + log(n) = log(5)
solve for n
n = 5/37
f(x)=y
What is f^-1(x)?
f^-1(x) =(3*(y - 15) - 7)/3
After drinking a caffeine drink, the amount of caffeine in the body decreases exponentially. The 10 hr decay factor of the mg of caffeine in the body is .2484.
a. what is the 5 hr decay factor?
b. what is the 1 hr decay factor?
a. sqrt(.2484)
b. 10sqrt(.2484)
Simplify the log
3ln(x) + ln(y)
ln(x^3*y)
h(r) represents the area (in cm^2) of a circle whose radius is r cm.
g(C) represents the radius (in cm) in a circle whose circumference is C cm.
In function notation, represent the area of a circle whose circumference is 139 cm.
h(g(139))
In 1950, pop was 3300 people. Pop increases exponentially by 22% every 10 yrs.
a. what is the 10 yr growth factor?
b. what is the 1 yr growth factor?
c. what is a function f(t) that determines pop in yrs since 1950
a. 1.22
b. 10sqrt(1.22)
c. f(t) = 3300(10sqrt(1.22)^t
Solve for x
log_3(x+1) - log_3(27) = 4
2186