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Help me im timed i cant figure it out

Help me im timed i cant figure it out-example-1

2 Answers

4 votes

Answer:

It's the third choice.

Explanation:

f(x) = y = 4x

x = 1/4 y

Change the y to x:

so the inverse g(x) = 1/4 x.

User Cooshal
by
5.0k points
5 votes

For this case we have to find the inverse of a function, follow the steps below:

  • Replace f (x) with y.
  • We exchange the variables.
  • We solve for "y".
  • Finally we change y by
    f ^ {- 1} (x)

Then, it is observed that of option 3:


f (x) = 4x

Replace
f (x)with y:


y = 4x

We exchange the variables:


x = 4y

We solve for "y":


4y = x\\y = \frac {x} {4}

Finally we change y by
f ^ {- 1} (x):


f ^ {- 1} (x) = \frac {x} {4}

Answer:

The correct option is C

User Martskins
by
5.5k points