Question

Analyze the effect on the domain of f(x)=x3
when f(x)
is replaced by f(bx)
with b<0
.(1 point)
Responses

The domain remains all real numbers.
The domain remains all real numbers.

The domain changes to zero.
The domain changes to zero.

The domain remains all positive real numbers.
The domain remains all positive real numbers.

The domain changes to all negative real numbers.
The domain changes to all negative real numbers.

Answer 1

The domain remains all real numbers. Multiplying x by a nonzero scalar b (even if b<0) maps R onto R, so bx takes every real value as x varies, and f(bx) is defined for all real x.