Question

what is the approximate slope of the curve with equation f(x)=1 /x-1 @ x=1.2

Answer 1

Is that f(x)=1/x-1
or is it suppose to be f(x)=1/(x-1)?

Answer 2

slope means derivative so differentiate the function with respect to x first

Answer 3

fx=1/x-1 at x=1.2

Answer 4

yeah do u have any knowledge of derivatives?

Answer 5

you could easily use the formal definition of derivative which is
\[\frac{df}{dx}=\lim_{h \rightarrow 0}\frac{f(x+h)-f(x)}{h}\]

so if you are given \[f(x)=\frac{1}{x}-1 \text{ then what is } f(x+h)=?\]
I'm asking this because our formula calls for it