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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):

User Patrice Gagnon
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1 Answer

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26 votes

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}

User Shaunak D
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