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gregori [183]
3 years ago
7

F(x) = (4x–5)/6 Find the Inverse

Mathematics
1 answer:
noname [10]3 years ago
3 0

Answer:

F^-1 (x) = 3x/2+5/4

Step-by-step explanation:

First, replace f(x) with y

Replace every x with a y and replace every y with an x .

Solve the equation from Step 2 for y  

Replace y with f−1(x) f − 1 ( x )

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

Hope this helps!  Stay Safe!

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How to Write Out Number 0.0009 in Words: nine ten-thousandths

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A sheet of standard size copy paper measures 8.5 inches by 11 inches. If a ream is 500 sheets of paper has a volume of 187 inche
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Answer:

\large \boxed{\text{2.00 in}}  

Step-by-step explanation:

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7 0
3 years ago
A punch bowl is in the shape of a cylinder he height of the Punch bowl is 10 inches and the diameter of the Punch bowl is 14 inc
mixas84 [53]

Answer:

The volume required to fill the punch bowl till 1 inch from the top is 1385.44 inches³

Step-by-step explanation:

Total Height of the punch bowl = 10 inches

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Since, radius is half of the diameter, the radius of the bowl would be = r = 7 inches.

The shape of punch bowl is given to be cylindrical and we have to find the volume of the bowl. The formula to calculate the volume of a cylinder is:

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Here, h represents the height.

We have to find the volume to fill the bowl till 1 inch from the top. Since, the height of bowl is 10 inches, we have to fill it to 9 inches. Therefore, the value of height(h) which we will substitute in the formula will be 9. Using the values in the formula gives us:

Volume =\pi (7)^{2} \times 9\\\\ Volume =441\pi \\\\ Volume = 1385.44

This means, the volume required to fill the punch bowl till 1 inch from the top is 1385.44 inches³

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