Question

A function is given. f(t) = 4/t ; t = a, t = a + h (a) Determine the net change between the given values of the variable.

Answer 1

The net change between the given values of the variable is  $\frac{4h}{a(a+h)}$.

$f(t)=\frac{4}{t}, t=a,t=a+h$

$f(a)=\frac{4}{a} \\\\f(a+h)=\frac{4}{a+h}$

To find net change, subtract $f(a+h)$ from $f(a)$

Net Change is,

                         $=\frac{4}{a}-\frac{4}{a+h}\\\\=\frac{4(a+h-h)}{a(a+h)} \\\\=\frac{4h}{a(a+h)}$

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