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91Ó°ÊÓ

Evaluate each expression using the values given in the table.

(a) f∘g1(b) f∘g2(c) g∘f2(d) g∘f3(e) g∘g1(f) f∘f3.

Short Answer

Expert verified

The value is

(a) 5 (b)-8(c) 0 (d) 0 (e) 1 (f) 7.

Step by step solution

01

Step 1. Given information.

The evaluation of the functions are :(a) f∘g1(b) f∘g2(c) g∘f2(d) g∘f3(e) g∘g1

(f)f∘f3.

02

Step 2. The evaluation of a functional value.

The functional value are :

(a) fg1=f0=5.

(b) fg2=f-3=-8.

(c) gf2=g(1)=0.

(d) gf3=g-1=0.

(e) gg1=g0=1.

(f)ff3=f-1=7.

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