Composition of Two Functions

[nycmath]

See attachment.

[Eigenvalue]

A. Let p(x)=x⁵ and q(x)=ax+b
(p o q)(x)=p(q(x))=(ax+b)⁵

B. Let p(x)=[tex]\frac{1}{x}[/tex] and q(x)=[tex]\sqrt{x}[/tex]
(p o q)(x)=p(q(x))=[tex]\frac{ \sqrt{x} }{x}[/tex]

C. H(x)=(ax+b)⁵
=a⁵x⁵+5a⁴bx⁴+10a³b²x³+10a²b³x²+5ab⁴x+b⁵

[nycmath]

A. Let p(x)=x⁵ and q(x)=ax+b
(p o q)(x)=p(q(x))=(ax+b)⁵

B. Let p(x)=[tex]\frac{1}{x}[/tex] and q(x)=[tex]\sqrt{x}[/tex]
(p o q)(x)=p(q(x))=[tex]\frac{ \sqrt{x} }{x}[/tex]

C. H(x)=(ax+b)⁵
=a⁵x⁵+5a⁴bx⁴+10a³b²x³+10a²b³x²+5ab⁴x+b⁵

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