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tiny-mole [99]
3 years ago
11

If f(x) = 5x, what is f–1(x)?

Mathematics
2 answers:
Gemiola [76]3 years ago
5 0

Answer:

The answer is C.

Step-by-step explanation:

<u>Step 1: Replace f(x) with y.</u>

     f(x)=5x >>>>> y=5x

<u>Step 2: Switch x and y.</u>

     y=5x >>>>> x=5y

<u>Step 3: Solve for y</u>

     x=5y >>>> y= x/5

Then you have to do the inverse of dividing by 5. Which is multipilying by 1/5. This leaves you with,

      y= 1/5x

<u>Step 4: Write in standard inverse notation (Replace y with f^-1(x))</u>

      f^-1(x)=1/5x  

Note: These steps work with ANY problem where you have to find the inverse function. I hope this helps :)

     

Ahat [919]3 years ago
4 0
To get the inverse of a function interchange
the x's with the y'x and solve for y, as follows:
y=5x-7


Interchange to get:
x=5y-7
Solve for y to get:
y=(1/5)x+(7/5)

so I think it might be c


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