Given a one - to - one function p(x) that passes through the point (0,5), which of the following is/are true about p(x) and its inverse p-(x)? I. Evaluating p- (5) is equal to zero II. The graph of p(x) and its inverse p-² (x) coincides II. Evaluating p(p- (5)) is equal to zero IV. The inverse function p-1 (x) is also one - to - one A I and IV Il and II B (c) I only I, III and IV

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 55E
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Given a one - to - one function p(x) that passes through the point (0,5), which
of the following is/are true about p(x) and its inverse p-(x)?
I. Evaluating p- (5) is equal to zero
II. The graph of p(x) and its inverse p-² (x) coincides
II. Evaluating p(p- (5)) is equal to zero
IV. The inverse function p-1 (x) is also one - to - one
A I and IV
Il and II
B
© I only
I, III and IV
Transcribed Image Text:Given a one - to - one function p(x) that passes through the point (0,5), which of the following is/are true about p(x) and its inverse p-(x)? I. Evaluating p- (5) is equal to zero II. The graph of p(x) and its inverse p-² (x) coincides II. Evaluating p(p- (5)) is equal to zero IV. The inverse function p-1 (x) is also one - to - one A I and IV Il and II B © I only I, III and IV
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