1.5: Inverse Functions and Logarithms
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12 Terms
What type of function is guaranteed to have an inverse?
1-1 function
for each output y, there is only one input x
What kind of test on a graph, f(x), can we use to determine that it has an inverse?
Horizontal Line Test
How do we solve for the inverse function?
Use the given formula of f(x) => solve for x, then swap y and x variable
What is b^x = y equivalent to
x = log b (y)
What does log(m) + log(n) equal to
log (mn)
What does log(m) - log(n) equal to
log (m/n)
What does log(1) equal to
0
What does log (m^n) equal to
n * log(m)
What does -log(a) equal to
log (1/a)
what is the domain and range of arcsin
D: [-1, 1]
R: [-pi/2, pi/2]
What is the domain and range of arccos
D: [-1, 1]
R: [0, pi]
What is the domain and range of arctan
D: [-infinity, infinity]
R: [-pi/2, pi/2]
Note 
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