For the following functions, find (a) (f+g)(x), (b) (f-g)(x), (c) (f+g)(4), and (d) (f-g)(-1). f(x) = 3x² - 8, g(x) = 4x+8 (a) (f+g)(x) = (Simplify your answer.) (b) (f-g)(x)= (Simplify your answer.) (c) (f+g)(4)= (Simplify your answer.) (d) (f-g)(-1)= (Simplify your answer.)

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 image presents a mathematical problem involving two functions \( f(x) \) and \( g(x) \). Students are asked to perform various operations on these functions. Below is the transcribed text suitable for an educational website:

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### Instructions:

For the following functions, find (a) \( (f + g)(x) \), (b) \( (f - g)(x) \), (c) \( (f + g)(4) \), and (d) \( (f - g)(-1) \).

\[ f(x) = 3x^2 - 8 \]
\[ g(x) = 4x + 8 \]

### Questions:

**(a)** \((f + g)(x) = \) [______] (Simplify your answer.)

**(b)** \((f - g)(x) = \) [______] (Simplify your answer.)

**(c)** \((f + g)(4) = \) [______] (Simplify your answer.)

**(d)** \((f - g)(-1) = \) [______] (Simplify your answer.)

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The given functions are polynomial expressions \( f(x) \) and \( g(x) \). Students need to perform addition and subtraction of these functions, and then evaluate the results at specific values of \( x \). Make sure to simplify your answers to the most reduced form.
Transcribed Image Text:The image presents a mathematical problem involving two functions \( f(x) \) and \( g(x) \). Students are asked to perform various operations on these functions. Below is the transcribed text suitable for an educational website: --- ### Instructions: For the following functions, find (a) \( (f + g)(x) \), (b) \( (f - g)(x) \), (c) \( (f + g)(4) \), and (d) \( (f - g)(-1) \). \[ f(x) = 3x^2 - 8 \] \[ g(x) = 4x + 8 \] ### Questions: **(a)** \((f + g)(x) = \) [______] (Simplify your answer.) **(b)** \((f - g)(x) = \) [______] (Simplify your answer.) **(c)** \((f + g)(4) = \) [______] (Simplify your answer.) **(d)** \((f - g)(-1) = \) [______] (Simplify your answer.) --- The given functions are polynomial expressions \( f(x) \) and \( g(x) \). Students need to perform addition and subtraction of these functions, and then evaluate the results at specific values of \( x \). Make sure to simplify your answers to the most reduced form.
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