A function has the equation $f(x) = \frac{4}{\sqrt{2x - 3}}.$ Find the range of values of $x$ fo

Question

A function has the equation $f(x) = \frac{4}{\sqrt{2x - 3}}.$ Find the range of values of $x$ for which the function to be valid. Explain why the graph of $f(x)$ does not have a stationary point. Hence state whether $f(x)$ is an increasing or decreasing function.

Accepted Answer

(i) $x>\dfrac32$ (ii) $f'(x)=-\dfrac{4}{(2x-3)^{3/2}}\ne0$ (iii) Decreasing

Differentiation - Increasing and Decreasing Functions

Differentiation - Increasing and Decreasing Functions

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