Question

the domain of $f(x)=4x$ is
the range of $f(x)=4^{x}$ is

Explanation:

Step1: Identify domain of $f(x)=4x$

Linear functions accept all real numbers. Domain: $(-\infty, \infty)$

Step2: Identify range of $f(x)=4^x$

Exponential function $a^x$ ($a>0,a
eq1$) outputs positive values only. Range: $(0, \infty)$

Answer:

The domain of $f(x)=4x$ is all real numbers ($(-\infty, \infty)$)
The range of $f(x)=4^x$ is all positive real numbers ($(0, \infty)$)