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  4. Exercise : Determine the growth or decay of a function with a rational exponent

Determine the growth or decay of a function with a rational exponent Precalculus

Are the following functions increasing or decreasing?

g : x \longmapsto \left(2x+3\right)^{-1/2}

g : x \longmapsto \left(5x-9\right)^{1/3}

g : x \longmapsto \left(2x+1\right)^{-3/4}

g : x \longmapsto \left(x-3\right)^{1/2}

g : x \longmapsto \left(\ln\left(x\right)-3\right)^{-1/4}

g : x \longmapsto \left(3e^{x}+5\right)^{1/3}

g : x \longmapsto \left(3x-4\right)^{-3/5}