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

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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unett

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