Classify each function:a) f(x) = log3(x)b) g(x) = root(5)(x)c) h(x)

Daniaal Sanchez 2021-08-14 Answered

Classify each function:
a) \(\displaystyle{f{{\left({x}\right)}}}={\log{{3}}}{\left({x}\right)}\)
b) \(\displaystyle{g{{\left({x}\right)}}}={\sqrt[{{5}}]{{{x}}}}\)
c) \(\displaystyle{h}{\left({x}\right)}={2}\frac{{x}^{{3}}}{{{8}–{x}^{{2}}}}\)
d) \(\displaystyle{u}{\left({t}\right)}={1}–{1.1}{t}_{{2.51}}{t}^{{2}}\)
e) \(\displaystyle{v}{\left({t}\right)}={3}^{{t}}\)
f) \(w(\theta) = \sin \theta \cos^6 \theta\)

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Expert Answer

insonsipthinye
Answered 2021-08-15 Author has 17909 answers

a) \(\displaystyle{f{{\left({x}\right)}}}={\log{{3}}}{\left({x}\right)}\) – logarithmic function
b) \(\displaystyle{g{{\left({x}\right)}}}={\sqrt[{{5}}]{{{x}}}}\) – root function
c) \(\displaystyle{h}{\left({x}\right)}={2}\frac{{x}^{{3}}}{{{8}–{x}^{{2}}}}\) – rational function
d) \(\displaystyle{u}{\left({t}\right)}={1}–{1.1}{t}_{{2.51}}{t}^{{2}}\) – polynomial function
e) \(\displaystyle{v}{\left({t}\right)}={3}^{{t}}\) – power function
f) \(w(\theta)=\sin\theta\cos^{6}\theta\) – trigonometric function

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