Evaluating the Derivative of an Inverse Function In Exercises 3-12, verify that f has an Inverse function. Then use the function f and the then real number a to find ( f − 1 ) ( a ) . (Hint: See example 1.) f ( x ) = x + 6 x − 2 , x > 2 , a = 3
Evaluating the Derivative of an Inverse Function In Exercises 3-12, verify that f has an Inverse function. Then use the function f and the then real number a to find ( f − 1 ) ( a ) . (Hint: See example 1.) f ( x ) = x + 6 x − 2 , x > 2 , a = 3
Solution Summary: The author explains that f(x) is monotonic (the derivative is always negative, so it's always decreasing). To calculate, we have to use (f-1)'
Evaluating the Derivative of an Inverse Function In Exercises 3-12, verify that f has an Inverse function. Then use the function f and the then real number a to find
(
f
−
1
)
(
a
)
. (Hint: See example 1.)
Use algebra to find the inverse of the function f(x) = 5x + 7
The inverse function is f-¹(a) =
Entry Tip: To enter an answer like ✔a, type root(n)(x). Preview your answer before submitting!
Use function composition to determine if f (x) and g (x) are inverse functions.
f (x) =
x + I and g (x)
x3 +1
Yes, they are inverse functions.
No, they are not inverse functions.
Write a full soultion
Let f(x) = 1− x/x+1
A) Find the inverse of the function f
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