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wel
2 years ago
6

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

Mathematics
1 answer:
faltersainse [42]2 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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6(1 + 3R) = 2(10R - 9) -4R
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Answer:

R=-12

Step-by-step explanation:

6(1 + 3R) = 2(10R - 9) -4R

Distribute 6 through the parentheses

6+18R=2(10R-9)-4R

Distribute 2 through the parentheses

6+18R=20R-18-4R

Collect like terms

6+18R=16R-18

Move the variable to the left-hand side and change its sign

6+18R-16R=-18

Move the constant to the right-hand side and change its sign

18R-16R=-18-6

Collect like terms

2R=-18-6

Calculate the difference

2R=-24

Divide both sides of the equation by 2

R=-12

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3 years ago
Peter has decided to save $30 each week to buy a new stereo system.Write a direct variation equation for the amount of money, m,
Lena [83]
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3 years ago
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3 years ago
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I need help on number 2
Nina [5.8K]

9514 1404 393

Answer:

  a. 405

  b. -2

  c. 5

  d. 43

Step-by-step explanation:

I don't like doing arithmetic any more than you do, so I let a calculator do it for me. A spreadsheet works well for this, too. The function values are shown in the attachment.

Put the function argument where the variable is and do the arithmetic.

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3 years ago
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kumpel [21]

Answer:

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6r+7=7r+13

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Step-by-step explanation:

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