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Chapter 5: Q. 15 (page 256)

Find for the given functions f,gsuch that

fx=x,gx=2x.

(a) f鈭�g4(b) g鈭�f2(c)f鈭�f1(d)g鈭�g0.

Short Answer

Expert verified

The value is (a)22(b)22(c) 1 (d) 0.

Step by step solution

01

Part (a) Step 1. Given Information.

The given functions are :

fx=x,gx=2x.

02

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

The functional value is :

(a) f鈭�g4=fg4=f8=22.

03

Part (b) Step 1. Given Information.

The given function be

fx=x,gx=2x.

04

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

The value of the function is

g鈭�f2=gf2=g2=22.

05

Part (c) Step 1. Given Information.

The given function is

fx=x,gx=2x.

06

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

The value of the function is

f鈭�f1=ff1=f1=1.

07

Part (d) Step 1. Given Information.

The given function be

fx=x,gx=2x.

08

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

The value of the function be

g鈭�g0=gg0=g0=0.

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