Studdy AI Logo
Math

QuestionUse the function f(x)=x−4f(x)=\sqrt{x-4} to complete the table. Simplify answers; mark "Not a real number" if needed.

Studdy Solution

STEP 1

Assumptions1. The function is given by f(x)=x−4f(x)=\sqrt{x-4} . We need to find the values of f(x)f(x) for various values of xx
3. If x−4x-4 is less than0, the value of f(x)f(x) is not a real number because the square root of a negative number is not a real number.

STEP 2

Let's start by finding f(x)f(x) for x=4x=4. We substitute x=4x=4 into the function.
f(4)=4−4f(4)=\sqrt{4-4}

STEP 3

implify the expression inside the square root.
f()=0f()=\sqrt{0}

STEP 4

Calculate the square root.
f(4)=0f(4)=0

STEP 5

Now, let's find f(x)f(x) for x=5x=5. We substitute x=5x=5 into the function.
f(5)=5−4f(5)=\sqrt{5-4}

STEP 6

implify the expression inside the square root.
f(5)=1f(5)=\sqrt{1}

STEP 7

Calculate the square root.
f(5)=1f(5)=1

STEP 8

Now, let's find f(x)f(x) for x=3x=3. We substitute x=3x=3 into the function.
f(3)=3−4f(3)=\sqrt{3-4}

STEP 9

implify the expression inside the square root.
f(3)=−f(3)=\sqrt{-}

STEP 10

Since the square root of a negative number is not a real number, we conclude that f(3)f(3) is not a real number.
So, the values of f(x)f(x) for x=4x=4, x=5x=5, and x=3x=3 are0,, and "Not a real number", respectively.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord