Classify each following function:a) f(x) = log7(x)b) g(x) = root(7)(x)

floymdiT 2021-09-08 Answered

Classify each following function:
a) \(f(x) = \log7(x)\)
b) \(g(x) = \sqrt[7]{x}\)
c) \(h(x) = \frac{2x^3}{7 – x^2}\)
d) \(u(t) = 1 – 1.1t _ {2.5}7t^2\)
e) \(v(t) = 7^t\)
f) \(w(\theta) = \sin \theta \cos^7 \theta\)

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Expert Answer

unett
Answered 2021-09-09 Author has 11211 answers

a) \(\displaystyle{f{{\left({x}\right)}}}={\log{{7}}}{\left({x}\right)}\) – logarithmic function
b) \(\displaystyle{g{{\left({x}\right)}}}={\sqrt[{{7}}]{{{x}}}}\) – root function
c) \(\displaystyle{h}{\left({x}\right)}={2}\frac{{x}^{{3}}}{{{7}–{x}^{{2}}}}\) – rational function
d) \(\displaystyle{u}{\left({t}\right)}={1}–{1.1}{t}_{{2.57}}{t}^{{2}}\) – polynomial function
e) \(\displaystyle{v}{\left({t}\right)}={7}^{{t}}\) – power function
f) \(w(\theta) = \sin \theta \cos^7 \theta\) - trigonometric function

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