Question

>10Let f(x) = x² + 2 (0 <2)018(a) What is the domain of f?Domain off(b) What is the range of f?Range of f =(c) What is the domain off-17Domain off-1 =(d) What is the range of f-12Range of f-1 =(e) Find the formula for f-'(x):

Answer 1

Solution

We have the following function:

f(x) = x^2+2 (x >=0)

Part a

Domain:

$\lbrack0,\infty)$

Part b

Range

$\lbrack2,\infty)$

Part c

The inverse function is:

$f^{-1}(x)=\sqrt[]{x-2}$

Domain:

$\lbrack2,\infty)$

Part d

Range

$\lbrack0,\infty)$

Part e

$y=\sqrt[]{x-2}$