Question

What is the minimum value for g(x)=x2−10x 16? enter your answer in the box.

Answer 1

The minimum value for g(x)=x² - 10x + 16 is -9

How to determine the minimum value?

The function is given as:

g(x)=x² - 10x + 16

Differentiate the function

g'(x) = 2x - 10

Set the function 0

2x - 10 = 0

Add 10 to both sides

2x = 10

Divide by 2

x = 5

Substitute 5 for x in g(x)

g(5)=5² - 10*5 + 16

Evaluate

g(5) = -9

Hence, the minimum value for g(x)=x² - 10x + 16 is -9

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