Math

QuestionEvaluate the function f(x)=2x+5f(x)=-2x+5 at x=4x=-4. What is f(4)f(-4)?

Studdy Solution

STEP 1

Assumptions1. The function is given as f(x)=x+5f(x)=-x+5 . We need to evaluate the function at x=4x=-4

STEP 2

To evaluate a function at a specific point, we substitute the given value into the function. In this case, we substitute x=4x=-4 into the function f(x)=2x+5f(x)=-2x+5.
f(4)=2(4)+5f(-4) = -2(-4) +5

STEP 3

Perform the multiplication operation first, according to the order of operations (PEMDAS/BODMAS).
f()=8+5f(-) =8 +5

STEP 4

Now, perform the addition operation.
f(4)=13f(-4) =13So, when we evaluate the function f(x)=2x+f(x)=-2x+ at x=4x=-4, we get f(4)=13f(-4)=13.

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