If f(x) = 5x² + x – 6, find the following: (a) f(-1) = (b) f(1) = (c) f(-2) =

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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i need you to solve this problem like the example in the second photo

If f(x) = 5x2 + x – 6, find the following:
(a) f(-1) =
(b) f(1) =
(c) f(-2) =
Transcribed Image Text:If f(x) = 5x2 + x – 6, find the following: (a) f(-1) = (b) f(1) = (c) f(-2) =
Evaluate f (6) for the function f (x).
f (x) = 2x2 + x – 7
Solution
Our goal is to find the function's value when x is equal to 6. To do this, we need to replace every x with
the value 6. When evaluating a function it is helpful to place parentheses around the value that is being
substituted.
f (x) = 2x? + x – 7
This is the original function.
f) = 2( )? + ()-7
f(6) = 2(6)² + (6) – 7
Remove x's and put parentheses instead
Inside each parentheses write the value of
f(6) = 2(36) + 6 – 7
6
f(6) = 72 + 6 - 7
Evaluate using PEMDAS
f(6) = 78 – 7
f(6) = 71
Transcribed Image Text:Evaluate f (6) for the function f (x). f (x) = 2x2 + x – 7 Solution Our goal is to find the function's value when x is equal to 6. To do this, we need to replace every x with the value 6. When evaluating a function it is helpful to place parentheses around the value that is being substituted. f (x) = 2x? + x – 7 This is the original function. f) = 2( )? + ()-7 f(6) = 2(6)² + (6) – 7 Remove x's and put parentheses instead Inside each parentheses write the value of f(6) = 2(36) + 6 – 7 6 f(6) = 72 + 6 - 7 Evaluate using PEMDAS f(6) = 78 – 7 f(6) = 71
Expert Solution
Step 1

 

  f(x)= 5x2+x-6      f(  ) = 5(  )2 + (  ) -6                [Remove x's and put parentheses instead]         

a) f(-1)

f(-1) = 5(-1)2+(-1)-6f(-1) = 5×1-1-6f(-1) = 5-1-6f(-1) =4-6f(-1) = -2

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