Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).(x) = cos x divided by three; g(x) = cos x

Answer:Horizontal stretch by a factor of 3Step-by-step explanation:Given:[tex]f(x)=\cos\frac{x}{3}[/tex][tex]g(x)=\cos x[/tex]Function transformation rule used:[tex]g(x)\rightarrow f(x\times C})[/tex]When [tex]x[/tex] is multiplied by a constant [tex]C[/tex] then the function is either stretched or compressed in horizontal direction.If the [tex]C>1[/tex] then its a horizontal compress.If the [tex]C<1[/tex] then its a horizontal stretch.Function transformation taking place:[tex]g(x)\rightarrow f(\frac{x}{3})[/tex]The constant term multiplied in the above transformation comes to be [tex]\frac{1}{3}[/tex] which is [tex]<1[/tex], which means that the transformation would be a horizontal stretch by a factor of 3.