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3 years ago

Find the derivative of the inverse function of the original function f(x)=(x+1)^3-5

Mathematics

1 answer:

____ [38]3 years ago

4 0

Answer:

Step-by-step explanation:

let f(x)=y

$y=(x+1)^{3} -5\\flip ~x~and~y\\x=(y+1)^{3}-5\\(y+1)^{3}=x+5\\y=(x+5)^{\frac{1}{3} } -1\\or~f^{-1}(x)=(x+5)^{\frac{1}{3} } -1\\(f^{-1})'(x)=\frac{1}{3} (x+5)^{\frac{-2}{3} }$

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(2-n)8 i need help solving n

WINSTONCH [101]

(2−n)(8)

=(2+−n)(8)

=(2)(8)+(−n)(8)

=16−8n

=−8n+16

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3 years ago

∠ and ∠ are supplementary angles. If ∠ = (2 − 30)° and ∠ = 4, find the measure of the larger angle

Gala2k [10]

Answer:

We get ∠A =40° and ∠B = 140° and ∠B = 140° is measure of larger angle

Step-by-step explanation:

we have ∠A = (2x − 30)° and ∠B = 4x, and we need to find measure of larger angle. And ∠A and ∠A are supplementary angles.

If the angles are supplementary there sum is equal to 180° i.e ∠A + ∠B = 180°

So, First we have to find the value of x. and then we can determine larger angle.

We know: ∠A + ∠B = 180

2x-30+4x=180

6x-30=180

6x=180+30

6x=210

x=210/6

x=35

So, value of x is x=35

Now finding ∠A and ∠B

∠A = (2x − 30)°

∠A = (2(35) − 30)°

∠A = (70 − 30)°

∠A =40°

and ∠B = 4x

∠B = 4(35)

∠B = 140°

So, we get ∠A =40° and ∠B = 140° and ∠B = 140° is measure of larger angle

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3 years ago

At your gym, the bar you lift weighs 45 pounds. You add weights to the bar that are 10 pounds each. If you add 8 weights to the

Anna35 [415]

So you have 45 and you want to add 8 more weights which are ten pounds each you multply 10 and 8 and then add 45 when

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3 years ago

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The parent function f(x) = x2 is translated such that the function g(x) = –x2 + 6x – 5 represents the new function. What is true

kkurt [141]

Answer:

1. Translation 3 units to the right;

2. Reflection across the x-axis;

3. Translation 4 units up.

Step-by-step explanation:

First, rewrite the function $g(x)$ in following way:

$g(x)=-x^2+6x-5=-(x^2-6x)-5=-(x^2-6x+9-9)-5=-(x-3)^2+9-5=-(x-3)^2+4.$

Apply such transformations:

1. Translate the graph of the parent function $f(x)$ 3 units to the right to get the graph of the function $f_1(x)=(x-3)^2.$

2. Reflect the graph of the function $f_1(x)$ across the x-axis to get the graph of the function $f_2(x)=-(x-3)^2.$

3. Translate the graph of the function $f_2(x)$ 4 units up to get the graph of the function $g(x)=-(x-3)^2+4.$

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3 years ago

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32 lbs of apples cost $160. How much would 25 lbs cost? *

arsen [322]

Answer:

$125

Step-by-step explanation:

If you divide 160 by 32 you will get 5 then you will multipy 5 by 25 to get $125

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