Inverse f(x)
A function can be considered _______ if it passes both the Vertical and Horizontal line tests, and its different domain values always lead to different range values.
One - to - one
Logarithmic functions are the inverse of what other type of function?
Exponential f(x)
If g(x) = (2/3)^x-5 + 7 where does the critical point of g(x) = (2/3)^ x move to?
(5, 8)
Solve and write in interval notation: (1/2)^2x < (1/16)^x+3
(-infinity, -6)
If the domain of f(x): (-3/2, 6) and the range is (0, 7) what is the domain and range of the function f^-1(x)?
D: (0, 7)
R: (-3/2, 6)
Solve: log(3)27 = x
x = 3
Solve: 1.5^(x+1) = (27/8)^x
x =1/2
Solve: 3^2x +35 = 12(3x)
(log3(5), log3(7))
What is the inverse of y = 2/(x+3)?
f^-1(x) = (2-3x)/x
Solve: 2^(3-x) = 8
0
Find the formula for the function that passes through the points (2, 4.5) and (0, 0.5)
f(x) = 0.5(3)^x
Solve: (1/8)^2x-3 =16^x+1
x = 1/2