Enimen519idn
Answered

Discover a world of knowledge and community-driven answers at IDNLearn.com today. Our experts are available to provide accurate, comprehensive answers to help you make informed decisions about any topic or issue you encounter.

f (x) = 7x + 2. Find the inverse of f(x).
O A. f-1(2)= 4
O B. f-1(r)=Tx-2
O c. f-(t) =%á
O D. f (x) = 2- 7x

Sagot :

Answer:

[tex] \frac{x - 2}{7} [/tex]

Step-by-step explanation:

[tex]f(x) = 7x + 2[/tex]

[tex]let \: \: f(x) = y[/tex]

[tex]7x + 2 = y[/tex]

[tex]7x = y - 2[/tex]

[tex]x = \frac{y - 2}{7} [/tex]

[tex] {f}^{ - 1} (x) = \frac{x - 2}{7} [/tex]

Answer ↓

[tex]\large\text{view\:explanation\:for\:more\:details}[/tex]

Calculations ↓

Remember , inverse functions do the opposite things in the opposite order.

Here's what happened to x here :

  1. First , it's been multiplied by 7 .
  2. Then , 2 has been added to it .

We can easily find the inverse of any function by following these steps :

  1. Set the function equal to y as follows :

f(x)=7x+2

y=7x+2

        2. Now , switch y and x places :

x=7y+2

            3. Solve for y .

First , subtract 2 on both sides :

x-2=7y

Divide by 7 on both sides :

[tex]\text{y=$\displaystyle\frac{x-2}{7}$}}[/tex]

We've found the inverse function of f(x)=7x+2.

[tex]\tiny\text{hope\:helpful}[/tex]

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Thank you for trusting IDNLearn.com. We’re dedicated to providing accurate answers, so visit us again for more solutions.