Find the domain and range of the inverse of the given function. \( f(x)=-\frac{4}{x} \) A. Domain and range: all real numbers B. Domain: \( (-\infty, 0) \cup(0, \infty) \); range: \( (-\infty, 0) \) D. Domain: all real numbers; range: \( (-\infty, 0) \cup(0, \infty) \) and range: \( (-\infty, 0) \cup(0, \infty) \)

Determine the implied domain of the following function. Express your answer in interval notation. \[ f(x)=\sqrt{x}-9 \] Answer

The function \( f(t)=60,000(2)^{\frac{1}{40}} \) gives the number of bacteria in a population \( t \) minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?

The size of a certain insect population is given by \( \mathrm{P}(\mathrm{t})=400 e^{.03 \mathrm{t}} \), where t is measured in days. At what time will the population equal 1600 ?

What is the magnitude of a vector with a horizontal component of 5 and a vertical component of \( 12 ? \)

Where is there a discontinuity / are there discontinuities (holes or asymptotes) in the rational function \( f(x)=\frac{x^{2}+3 x+2}{x^{2}-4} ? \) \( x= \) 0 \( x= \) 2 \( x= \) -2 \( x=2 \) -2 \( x=0 \) \( 2,-2 \) \( x \)