Question

the function g(x) was obtained by transforming f(x)=1/x Use the description of the transformation to write the equation representing g(x).f(x) Is vertically stretched by a factor of 2, reflected about the X axis, then shifted 5 units.

Answer 1

Since f(x) is vertically strectched by a factor 2, we get

`f(x)\longrightarrow(2)/(x)`

next, it is reflectec about the x-axis, then we have

`(2)/(x)\longrightarrow-(2)/(x)`

Finally, its shifted 5 units on x axis, then we have

`-(2)/(x)\text{ --> }-(2)/(x+5)`

which corresponds to option 2