A rectangular grassy lawn measuring 38m by 25m has been surrounded externally by a 2.5 m wide path . calculate the cost of travelling the path atbthe rate of 25per m

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Ответ:

cathyjuan

21.07.2021

Mathematics

$f^{-1}(x)=4x+48$ .

Step-by-step explanation:

We have been given a function $f(x)=\frac{1}{4}x-12$ . We are asked to find the inverse for our given function.

First of all, we will replace f(x) by y as:

$y=\frac{1}{4}x-12$

Now, we will interchange x and y values as:

$x=\frac{1}{4}y-12$

Let us solve for y.

$x+12=\frac{1}{4}y-12+12$

$x+12=\frac{1}{4}y$

Switch sides:

$\frac{1}{4}y=x+12$

Multiply both sides by 4:

$4*\frac{1}{4}y=4(x+12)$

y=4x+48

Therefore, the required inverse function would be $f^{-1}(x)=4x+48$ .

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A rectangular grassy lawn measuring 38m by 25m has been surrounded externally by a 2.5 m wide path . calculate the cost of travelling the path atbthe rate of 25per m​