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The functions f and g are defined as f(x) = 2x – 1 and g(x) = x² +1. Which of the following represents h(x) = g(f(x)) ? a. h(x) = 2x³ – x² + 2x – 1 b. h(x) = 2x2 – 1 c. h(x) = 4x² – 4x – 1 d. h(x) %3D 4x? —4х +2

The functions f and g are defined as f(x) = 2x – 1 and g(x) = x² +1. Which of the following represents h(x) = g(f(x)) ? a. h(x) = 2x³ – x² + 2x – 1 b. h(x) = 2x2 – 1 c. h(x) = 4x² – 4x – 1 d. h(x) %3D 4x? —4х +2

Trigonometry (11th Edition)
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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The functions f and g are defined as f(x) = 2x – 1 and g(x) = x² +1. Which of the following represents h(x) = g(f(x)) ? a. h(x) = 2x3 - x² + 2x – 1 b. h(x) = 2x² –- 1 c. h(x) = 4x² – 4x – 1 d. h(x) = 4x² – 4x + 2 %3D
Transcribed Image Text:The functions f and g are defined as f(x) = 2x – 1 and g(x) = x² +1. Which of the following represents h(x) = g(f(x)) ? a. h(x) = 2x3 - x² + 2x – 1 b. h(x) = 2x² –- 1 c. h(x) = 4x² – 4x – 1 d. h(x) = 4x² – 4x + 2 %3D
Expert Solution
Step 1 Concept

h(x) = g(f(x)) is called composite function of f(x) and g(x). 

Here the value of of function f(x) is substituted into g(x). 

For example g(x) = ax2+b and f(x) = cx + d 

Then h(x) = g(f(x)) = acx+d2 + b.

 

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