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1 year ago

If f(x) = -x-2, what is f¹(x)?

Mathematics

1 answer:

astra-53 [7]1 year ago

4 0

Answer:

f¯¹(x) =9x+18, for the pictorial(image) question
what is the send question is it asking derivative or inverse
If it is inverse f¯¹(x)=-x-2 as it is
Or if it is derivative f'(x)=-1

Step-by-step explanation:

<h2>For the image question f(x)=1/9x-2,f¯¹(x)=?</h2>

f(x)=1/9x-2............given
y=1/9x-2................swapping f(x) by y to Easily write
x=1/9y-2................interchanging x and y
1/9y-2=x................changeling side of equation
9(1/9y-2)=(x)9.......multiplying both sides by 9 to override the fraction on the right side
y-18=9x
y=9x-18.................Return to where it were
<em><u>f¯¹(x)=9x+18</u></em>..........swap back f¯¹(x) in the y

<h2>For the question f(x)=-x-2,f¯¹(x)=?</h2>

following the ☝️ arrangement
y=-x-2
x=-y-2
-y-2=x
-y=x+2
y=-x-2
f¯¹(x)=-x-2

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The rate of interest is given as 12.7%.

The time period to be calculated is given as 4 years.

The compound interest for the given above is to be calculated.

<h3>What is compound interest?</h3>

Compound interest is the interest that we earn both on the principal amount and the interest we earn.

The formula used to calculate compound interest is:

$P [ (1 + \frac{R}{100} )^n - 1 ]$

Where P = principal amount, R = rate of interest, and n = number of years.

We have,

P = 10400

R = 12.7%

n = 4 years

Compound interest:

$P [ (1 + \frac{R}{100} )^n - 1 ]\\\\10400 [ (1 + \frac{12.7}{100} )^4 - 1 ]$

Now,

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Rounding to the nearest whole number.

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Compound Interest = 6378.

Thus the Compound Interest of 10400 at 12.7% for 4 years is 6378.

Learn more about Compound Interest here:

brainly.com/question/13155407

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