Break the numbers under the radical into perfect squares: . Take the perfect squares out: you have two 2's, and 2 x's, on the outside of the radical with 2 and z leftover:
. Multiply everything together to get
.
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The domain and range of the given function both are the real numbers.
<h2>Given that:</h2>- The domain and range of function f(x) = 3x + 5 has to be found.
Considering working in real numbers, domain is and range is
too.
Domain can be complex numbers too, but for the sake of daily life cases, we consider working in real numbers.
Thinking of it as equation of straight line can help.
The given function is monotonically increasing and continuous.
Thus Range can be calculated as interval ( f(min value of domain), f(max value of domain) ) which gives us as range.
Below is the plot of f(x) = 3x + 5 in real number plane.
In fact, any linear equation of the form
has both domain and range as real numbers.
For more information, refer to:
Answer:
Step-by-step explanation: