3 In Exercises 5 and 6, let f(x) = x³ + 2x + 1, and assume that f-1 exists and has domain (-∞, ∞0). Simplify each expression (as in Example 4). 5. (a) f[f¹(4)] (b) f¹ [f(−1)] (c) (fof¹)(√2) (d) f[f'(t + 1)] 5 97 80 50 +

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 20E
Question
3
In Exercises 5 and 6, let f(x) = x³ + 2x + 1, and assume that
f-1 exists and has domain (-∞, ∞0). Simplify each expression
(as in Example 4).
5. (a) f[f¹(4)]
(b) f¹ [f(−1)]
(c) (fof¹)(√2)
(d) f[f'(t + 1)]
5
97
80
50
+
Transcribed Image Text:3 In Exercises 5 and 6, let f(x) = x³ + 2x + 1, and assume that f-1 exists and has domain (-∞, ∞0). Simplify each expression (as in Example 4). 5. (a) f[f¹(4)] (b) f¹ [f(−1)] (c) (fof¹)(√2) (d) f[f'(t + 1)] 5 97 80 50 +
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