5.7 Functional Composition
What is the domain and range of
f: 2x+5
g: x-3
What is all real numbers.
What are the steps to solve an inverse function?
1. switch the x and y
2. solve normally for y
What is the growth factor of
24,763(1+0.035)2
1.035
Solve
e5 x e2=
e7
What is the change of base formula?
logba
log a / log b
Solve
f: 3x+3
g: x2
f(g(x))
3x2+3
What is an easy way to tell on a graph if the equation is invertible?
What is the horizontal line test?
How many times does this compound?
5000(1+0.05/365)365x3
It compounds daily for 3 years
Solve
49e5 / 7e4 =
7e
What form is this question in?
log7 343=3
What is log form.
Solve
f:2x+5
g:root x-3
f(g(x))
2(roots x-3)+5
Solve
f(x)=2x
f-1(x)= x/2
Your friend invests $1,500 in a bank account that earns 4% interest compounded quarterly. How much money will be in the account after 8 years?
$2,062.41
Solve
(10e-3x)3
1000e-9x
34=81
log3 81=4
Solve
f:x2+1
g: 2x-2
g(f(x))
4x2-8x+5
Solve
f(x)=-x+16
f-1(x)= -x+16
A student deposits $2,000 into a college fund that earns 5% annual interest compounded annually. How much money will be in the account at the end of the 6 years?
$2,680.19
Solve
root 64e2x
8ex
log1/3 27=-3
1/3-3=27
Solve
f:x2.
g: x-4
f(g(4))
f(g(4))= 0
Solve
f(x)=1/3x-2
f-1(x)= 3x+6
You deposit $3 million into a savings account that earns 0.6% interest compounded monthly. The money stays in the account for 5 years. How much money did you make after 5 years?
You make $91,350
What is the value of the symbol e (at least 2 decimal places)?
2.718
ln(x−2)=4
x=e4+2