Answer:
The given statement is false.
Step-by-step explanation:
if y = f(x) be a function then the transformation of the type :
y = f(bx) gives a horizontal stretch when 0 < b < 1 and
a horizontal compression when b > 1.
Hence, the given statement that:
The graph of y=f(bx) is a horizontal compression of the graph y=f(x) if b<1 is a false statement.
Also we can consider example of sine function that is we can see the graph of:
[tex]y=\sin x[/tex]
and [tex]y=\sin {\dfrac{x}{2}}[/tex]
We could clearly see that the graph of the transformation is a horizontal stretch.
