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den301095 [7]
3 years ago
9

If h(x)=(x-2)^2, find h(x+1)

Mathematics
1 answer:
Softa [21]3 years ago
8 0

Answer:

Step-by-step explanation:

h(x+1) = ( x + 1 - 2)²

= (x -1)²

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xxTIMURxx [149]

Answer:

(-∞,-3) and (3,∞)  

Step-by-step explanation:

f(x) = x³ − 27x + 3

1. Find the critical points

(a) Calculate the first derivative of the function.

f'(x) = 3x² -27  

(b) Factor the first derivative

f'(x)= 3(x² - 9) = 3(x + 3) (x - 3)

(c) Find the zeros

3(x + 3) (x - 3) = 0

x + 3 = 0      x - 3 = 0

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The critical points are at <em>x = -3</em> and x = 3.

2. Find the local extrema

(a) x = -3

f(x) = x³ − 27x + 3 = (-3)³ - 27(-3) + 3 = -27 +81 + 3 = 57

(b) x = 3

f(x) = x³ − 27x + 3 = 3³ - 27(3) + 3 = 27 - 81 + 3 = -51

The local extrema are at (-3,57) and (3,-51).

3, Identify the local extrema as maxima or minima

Test the first derivative (the slope) over the intervals (-∞, -3), (-3,3), (3,∞)

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f'(0) = 3(0)² -27 = -27

f'(4) = 3(4)² - 27 = 51

The function is increasing on the intervals (-∞,-3) and (3,∞).

The graph below shows the critical points of your function.

6 0
3 years ago
Please help I’m timed!!
SSSSS [86.1K]

Answer:

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Step-by-step explanation:

Remember that all rational numbers are able to be written as a fraction or ratio of two integers.

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2 years ago
8 is not a factor of 36.... Your answer doesn't work.
m_a_m_a [10]
Correct :)

36 is not divisible by 8.

The prime factorization of 36 is 2*2*3*3

To get 8 we need 2*2*2 but we don't have enough 2's.
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