K(x) = -3x^4 + 5x^3 - x + 7 for x = -2.
K(-2) = -79
I got 1
-3 * 16 = -48
+5* 8 = 40
- -2 = 2
+7
= +1
-2*3 = -8, right?
-2^3
To find the value of K(-2) using the given function K(x) = -3x^4 + 5x^3 - x + 7, we need to substitute -2 for x in the function and calculate the resulting expression.
Step 1: Replace x with -2 in the function.
K(-2) = -3(-2)^4 + 5(-2)^3 - (-2) + 7
Step 2: Simplify the expression using the order of operations (PEMDAS).
-3(-2)^4 = -3(16) = -48
5(-2)^3 = 5(-8) = -40
-(-2) = 2
K(-2) = -48 + (-40) + 2 + 7
Step 3: Add or subtract the numbers to obtain the final result.
K(-2) = -48 - 40 + 2 + 7
= -88 + 9
= -79
Therefore, K(-2) = -79.