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>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):

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Solution

We have the following function:

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

Part a

Domain:

[tex]\lbrack0,\infty)[/tex]

Part b

Range

[tex]\lbrack2,\infty)[/tex]

Part c

The inverse function is:

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

Domain:

[tex]\lbrack2,\infty)[/tex]

Part d

Range

[tex]\lbrack0,\infty)[/tex]

Part e

[tex]y=\sqrt[]{x-2}[/tex]

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