Respuesta :

Answer:

To find f-¹(x) of f(x) equate f(x) to y

That's

f(x) = y

So we have

[tex]y = \frac{4x - 7}{10} [/tex]

Next interchange the variables that's x becomes y and y becomes x

That's

[tex]x = \frac{4y - 7}{10} [/tex]

Next make y the subject

Cross multiply

We have

4y - 7 = 10x

Move -7 to the right side of the equation

4y = 10x + 7

Divide both sides by 4

We have the final answer as

[tex]y = \frac{10x + 7}{4} [/tex]

So

[tex]f ^{ - 1} (x) = \frac{10x + 7}{4} [/tex]

Hope this helps you

ACCESS MORE
EDU ACCESS
Universidad de Mexico