In Exercises 27–38, evaluate each function at the given values of...

Question

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. f(r) = √(r + 6) +3

a. f(-6)

Accepted Answer

Hello today we're going to be evaluating the given function. So the function is F of X is equal to the square root of the quantity X plus four plus two. And we are told to evaluate this when we have F of negative four. Now what F of negative four means is we're taking our function F but we're replacing our input value X with negative four instead. So that means that for when we put in negative four every X within the F of X function is going to be replaced with negative four. So f of negative four is going to equal to the square root of negative four plus four plus two. And now what we need to do is to go ahead and simplify. So negative four plus four is going to give us zero. So F of negative four is going to equal to the square root of zero plus two and the square root of zero is just going to be zero. So zero plus two is going to give us two. And that means that F of negative four is going to equal to two. And that means that the solution to this problem is going to be be So I hope this video helps you in understanding how to evaluate F of negative four. And I'll go ahead and see you all in the next video

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In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. f(r) = √(r + 6) +3 a. f(-6)