What is the minimum value of the function g(x) =x2-6x-12?

The minimum value of the function g(x) =x² - 6x - 12 is at -21.

Polynomial is an expression consisting of only the operations of addition, subtraction, multiplication of variables.

Polynomials are classified by degree as linear, quadratic, cubic, etc.

Given the polynomial, g(x) =x²-6x-12, the minimum value is at g'(x) = 0. Hence:

g'(x) = 2x - 6

2x - 6 = 0

2x = 6

x = 3

g(3) = (3)² - 6(3) - 12 = -21

The minimum value of the function g(x) =x² - 6x - 12 is at -21.

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The minimum value of a square function that is open up is in the vertex.

The formula of a vertex:

We have:

a = 1 > 0 therefore the parabola is open up.

The minimum value of function g(x) is equal -21 for x = 3.

answer: the first one

step-by-step explanation: use a calculator and divide the minutes by the dollars.