Answer to Question #177489 in Calculus for Talha

Question

Q2. Find the domain and range of each function.

a) 𝑓(𝑡)=𝑥21+𝑥2

b) 𝑔(𝑧)=|𝑥−3|𝑥−3

c) 𝑓(𝑥)=1√4−𝑥2

Answer 1

In part c, $a^2\geq \frac{1}{4}.$ Hence the range will be $(\frac{1}{2},\infty).$

In part a), domain is the entire real line since $x^{21}+x^2$ is defined over the entire real line.