The value of f(6 + h) − f(6) is 36 + 6h - g^2 - 2gh - h^2.
Given,
f(x) = 6x − x2
We need to find f(6 + h) − f(6)
We have,
f(x) = 6x − x2
Find f(6 + h)
f(x) = 6x - x^2
Putting x = 6 + h
f(6+h)
= 6(6+h) - (g+h)^2
= 36 + 6h - (g^2 + 2gh + h^2)
= 36 + 6h - g^2 - 2gh - h^2 ________(A)
Find f(6)
f(x) = 6x - x^2
f(6)
= 6(6) - 6^2
= 36 - 36
= 0 ________(B)
Find f(6 + h) − f(6)
From A and B
= 36 + 6h - g^2 - 2gh - h^2 - 0
= 36 + 6h - g^2 - 2gh - h^2
Thus the value of f(6 + h) − f(6) is 36 + 6h - g^2 - 2gh - h^2.
Learn more about evaluating function here:
brainly.com/question/11270390
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Step-by-step explanation:
For a triangle, any 2 side lengths of the triangle must be greatee than the 3rd side.
Given a triangle with side lengths 11, 23 and x,
we have:
- 11 + 23 > x,
- 11 + x > 23, and
- 23 + x > 11.
Therefore 34 > x and x > 12. => 12 < x < 34.
Answer:
-7.96
Step-by-step explanation:
I used a calculator
