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91Ó°ÊÓ

Find for the given functions f,gsuch that

fx=x32,gx=2x+1.

Find : (a) f∘g4(b) g∘f2(c) f∘f1(d)g∘g0.

Short Answer

Expert verified

The values is : (a)2532(b)2232+1(c) 1 (d)23.

Step by step solution

01

Part (a) Step 1. Given Information.

The given functions are :

fx=x32,gx=2x+1.

02

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

The functional values are :

(a) f∘g4=fg4=f25=2532.

03

Part (b) Step 1. Given Information.

The given function be

fx=x32,gx=2x+1.

04

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

The functional value is

g∘f2=gf2=g232=2232+1.

05

Part (c) Step 1. Given Information.

The given function be

fx=x32,gx=2x+1.

06

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

The value of the function be

f∘f1=ff1=f1=1.

07

Part (d) Step 1. Given Information.

The given function be

fx=x32,gx=2x+1.

08

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

The functional value be

g∘g0=gg0=g2=23.

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