Respuesta :

For those, the answers are in order

1st.) y = 4x + 7

2nd.) x = 4y + 7

3rd.) x - 7 = 4y

4th.) x - 7/4  = y   [tex]\frac{x- 7}{4} = y[/tex]

5th.) f ^-1(x) = x - 7/4   [tex]f^{-1} (x) = \frac{x-7}{4}[/tex]

Ver imagen ls3192099

The steps for finding f⁻¹(x) in the correct order will be x =4y +7,y = (x-7)/4 and f⁻¹(x) = (x - 7)/4.

What is a function?

A connection between independent variables and the dependent variable is defined by the function. Functions help to represent graphs and equations.

A function is represented by two variables one is dependent and another one is an independent function. The relation between them is shown as y if dependent and x is the independent variable;

Given function;

y = 4x + 7

Step 1;

Replace the cofficient of x and y with each other

x =4y +7

Step 2;

Rearrange the equation

x-7 =4y

Step 3;

Put the cofficient of y in the denominator of x-7 as;

y = (x-7)/4

Step 4;

The inverse function is;

f⁻¹(x) = (x - 7)/4  

Hence the steps for finding f⁻¹(x) are found above.

To learn more about the function refer to the link https://brainly.com/question/12431044.

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