Find and write in simplest form:Given f(x) = x² :(a) f(f(b))(b) [f(x)-f(a)]/(x-a)(c) [f(x+h)-f(x)]/h
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Find and write in simplest form:Given f(x) = x² :(a) f(f(b))(b) [f(x)-f(a)]/(x-a)(c) [f(x+h)-f(x)]/h
Find and write in simplest form:
Given f(x) = x² :
(a) f(f(b))
(b) [f(x)-f(a)]/(x-a)
(c) [f(x+h)-f(x)]/h
Find and write in simplest form:Given f(x) = x² :(a) f(f(b))(b) [f(x)-f(a)]/(x-a)(c) [f(x+h)-f(x)]/h
(a) f(f(b))
=f(b^2)
=b^4
(b) [f(x)-f(a)]/(x-a)
=[x^2-a^2]/(x-a)
=x+a
(c) [f(x+h)-f(x)]/h
=[(x+h)^2-x^2]/h
=(2xh+h^2)/h
=2x+h
1.f(b)=b^2,f(f(b))=b^4
2. [f(x)-f(a)]/(x-a)=(x^2-a^2)/(x-a)=x+a
3. [f(x+h)-f(x)]/h=[(x+h)^2-x^2]/h=(2xh+h^2)/h=2x+h
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