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wel
3 years ago
6

Find (f^-1)'(7) without finding the inverse function where f(x) = 5 – 2x^3.

Mathematics
1 answer:
faltersainse [42]3 years ago
5 0

Step-by-step explanation:

the derivative of an inverse function is

1/f'(f^-1(x))

f'(x) = -6x²

f^-1(7) is solving the original function equation for x under the knowledge that y = 7

7 = 5 - 2x³

2 = -2x³

-1 = x³

=>

x = -1

f'(-1) = -6×(-1)² = -6×1 = -6

so,

(f^-1)'(7) = -1/6

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What is the Quotient of 1 and 2/3 divided by 2 and 3/5
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Answer:

  25/39

Step-by-step explanation:

For division of mixed numbers, it often works well to first convert them to improper fractions. Then the division proceeds in the usual way: "invert and multiply", or "dot, swap."

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  1\dfrac{2}{3}\div2\dfrac{3}{5}=\dfrac{5}{3}\div\dfrac{13}{5}=\dfrac{5}{3}\cdot\dfrac{5}{13}\\\\=\dfrac{5\cdot5}{3\cdot13}=\boxed{\dfrac{25}{39}}

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<em>Additional comment</em>

Your graphing calculator can do this, too.

7 0
2 years ago
A.
Lorico [155]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

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3 points at closing

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20% of price

0.2 × $220,000 = $44,000

B.) Amount of the Mortgage :

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$220,000 - $44,000 = $176,000

C.) Amount to be paid for the 3 point of closing :

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0.03 * $176,000 = $5,280

D.) monthly payment :

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8 0
3 years ago
Which ordered pair is a solution to the equation y = 6x - 4?
Yuri [45]

Answer:

Here are 3 different pairs (0,4) , (1,2) , (2,8)

Step-by-step explanation:

Hope this helped

7 0
3 years ago
What is the value of 2 ^ 3
Setler79 [48]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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3 years ago
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