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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.

the function gx was obtained by transforming fx1x Use the description of the transformation to write the equation representing gxfx Is vertically stretched by a class=

Respuesta :

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

[tex]f(x)\longrightarrow\frac{2}{x}[/tex]

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

[tex]\frac{2}{x}\longrightarrow-\frac{2}{x}[/tex]

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

[tex]-\frac{2}{x}\text{ --> }-\frac{2}{x+5}[/tex]

which corresponds to option 2

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