: 4. In the lecture, we worked out the dimensions of a rectangular box with no top and a prescribed surface area of 16m2 with maximal volume. Suppose that your surface area budget doubled to 32m2 . Would the dimensions of the box that maximized its volume simply be a scaling of the previous dimensions by p 2? Explain why or wh

Solved

Show answers

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

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice