1. Let f :i →i be a function given by f (x)=x³ –1. Prove the followings a) f([0,2]) b) ƒ*([0,2]) 2. Let f:j →i be a function given by f (x)= x² + 2x and g(x)= Vx +1. a) Find the composition functions fog and g of b) Find the interval such that f and g are injective, then prove that gof is also injective

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Let f :i →i be a function given by f (x)=x³ –1. Prove the followings
a) S([0,2]) b) f([0,2])
2. Let f:j →i be a function given by f (x)= x² + 2x and g(x)= Vx +1.
a) Find the composition functions fog and g of
b) Find the interval such that f and g are injective, then prove that gof is also
injective
Transcribed Image Text:1. Let f :i →i be a function given by f (x)=x³ –1. Prove the followings a) S([0,2]) b) f([0,2]) 2. Let f:j →i be a function given by f (x)= x² + 2x and g(x)= Vx +1. a) Find the composition functions fog and g of b) Find the interval such that f and g are injective, then prove that gof is also injective
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