Given f (x) = x² + 3, x > 0, find f and state any restrictions on the domain of f- (x). ON f-1(2) = VI + 3, D (f-') = [0, 0) O B) f-1 (x) = /3 – I, D (f-') = (-∞, –3| O0 g-1 (x) = VI – 3, D (f-') = |3, 00) OD f-1 (1) = Vr + 3, D (f-") = [-3, ∞0) O E f-1 (x) = VE – 3, D (f-') = [-3, 0) %3D OF f-1 (x) = /3 – æ, D (f-1) = (-∞,3]
Given f (x) = x² + 3, x > 0, find f and state any restrictions on the domain of f- (x). ON f-1(2) = VI + 3, D (f-') = [0, 0) O B) f-1 (x) = /3 – I, D (f-') = (-∞, –3| O0 g-1 (x) = VI – 3, D (f-') = |3, 00) OD f-1 (1) = Vr + 3, D (f-") = [-3, ∞0) O E f-1 (x) = VE – 3, D (f-') = [-3, 0) %3D OF f-1 (x) = /3 – æ, D (f-1) = (-∞,3]
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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![**Problem Statement**
Given \( f(x) = x^2 + 3 \), \( x \geq 0 \), find \( f^{-1} \) and state any restrictions on the domain of \( f^{-1}(x) \).
**Options**
A) \( f^{-1}(x) = \sqrt{x + 3}, \; D(f^{-1}) = [0, \infty) \)
B) \( f^{-1}(x) = \sqrt{3 - x}, \; D(f^{-1}) = (-\infty, -3] \)
C) \( f^{-1}(x) = \sqrt{x - 3}, \; D(f^{-1}) = [3, \infty) \)
D) \( f^{-1}(x) = \sqrt{x + 3}, \; D(f^{-1}) = [-3, \infty) \)
E) \( f^{-1}(x) = \sqrt{x - 3}, \; D(f^{-1}) = [-3, \infty) \)
F) \( f^{-1}(x) = \sqrt{3 - x}, \; D(f^{-1}) = (-\infty, 3] \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F319348e8-ec3b-434b-beac-e2801422c409%2F11ba6526-83d9-433a-8219-aa493c2b5d13%2Fns1ib0q_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement**
Given \( f(x) = x^2 + 3 \), \( x \geq 0 \), find \( f^{-1} \) and state any restrictions on the domain of \( f^{-1}(x) \).
**Options**
A) \( f^{-1}(x) = \sqrt{x + 3}, \; D(f^{-1}) = [0, \infty) \)
B) \( f^{-1}(x) = \sqrt{3 - x}, \; D(f^{-1}) = (-\infty, -3] \)
C) \( f^{-1}(x) = \sqrt{x - 3}, \; D(f^{-1}) = [3, \infty) \)
D) \( f^{-1}(x) = \sqrt{x + 3}, \; D(f^{-1}) = [-3, \infty) \)
E) \( f^{-1}(x) = \sqrt{x - 3}, \; D(f^{-1}) = [-3, \infty) \)
F) \( f^{-1}(x) = \sqrt{3 - x}, \; D(f^{-1}) = (-\infty, 3] \)
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