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Find the domain and range of the following function. f(x) = x+13 - Mathematics and Statistics

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Question

Find the domain and range of the following function.

f(x) = `root(3)(x + 1)`

Sum

Solution

f(x) = `root(3)(x + 1)`

f(x) is defined for all x ∈ R

∴ Domain = R

If y = `root(3)(x + 1)`, y can take any real value

∴ Range = R

∴ Domain = Range = R.

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Chapter 6: Functions - Exercise 6.1 [Page 118]

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