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Chapter 5: Q. 14 (page 256)

Find for the given functions f,g:

fx=2x2,gx=1-3x2.

Find (a)f鈭�g4(b)g鈭�f2(c)f鈭�f1(d)g鈭�g0.

Short Answer

Expert verified

The value is (a) 4418 (b) -191 (c) 8 (d) -2.

Step by step solution

01

Part (a) Step 1. Given Information.

The given functions are

fx=2x2,gx=1-3x2.

02

Part (a) Step 2. Evaluation of a functional value.

The functional value will be :

(a) f鈭�g4=fg4=f-47=4418.

03

Part (b) Step 2. Given Information.

The given function is

fx=2x2,gx=1-3x2.

04

Part (b) Step 2. Evaluation of a functional value.

The value of the function is

g鈭�f2=gf2=g8=-191.

05

Part (c) Step 1. Given Information.

The given function be

fx=2x2,gx=1-3x2.

06

Part (c) Step 2. Evaluation of a functional value.

The value of the function is

f鈭�f1=ff1=f2=8.

07

Part (d) Step 1. Given Information.

The given function be

fx=2x2,gx=1-3x2.

08

Part (d) Step 2. Evaluation of a functional value.

The value of the function is

g鈭�g0=gg0=g-1=1.

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