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Chapter 5: Q. 513 (page 564)

For the function fx=6x2-3x-9find

(a) f3

(b)f-2

(c)f(0)

Short Answer

Expert verified

The required values are:

(a)f(3)=36

(b) f(-2)=21

(c)f(0)=-9

Step by step solution

01

Step 1. Given Information

The given function isfx=6x2-3x-9.

02

Part (a) Step 1. Find the Value of Function at x=3

  • Substitute x=3in fx=6x2-3x-9and solve.

f3=6(3)2-3(3)-9=54-9-9=36

  • So, the value of function atx=3is 36.
03

Part (b) Step 1. Given Information

The given function is fx=6x2-3x-9.

04

Part(b) Step 2. Find the value of Function at 

  • Substitute x=-2in f(x)=6x2-3x-9and solve.

f-2=6(-2)2-3(-2)-9=24+6-9=21
So, the value of function at x=-2is 21.

05

Part (c) Step 1. Given Information

The given function isfx=6x2-3x-9.

06

Part (c) Step 2. Find the value of the Function at x=0

  • Substitute x=0in fx=6x2-3x-9and solve.

f0=6(0)2-3(0)-9=-9

  • So, the value of the function at x=0is -9.

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