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tensa zangetsu [6.8K]
4 years ago
8

If f(x) = 5x, what is f–1(x)?

Mathematics
1 answer:
Verdich [7]4 years ago
7 0
We are given f(x) = 5x
and we are to find inverse of f(x).

Step 1:
Replace f(x) by y.
So,

y = 5x

Step 2:
Isolate x
So,

x = y/5

Step 3:
Replace x by f'(y)
So,

f'(y) = y/5

Step 4:
Replace all occurrences of y by x.
So,

f'(x) = x/5

Therefore, the inverse of f(x) = 5x is f'(x) = x/5
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Hi! I'm happy to help!

Our total line is JL (4x), and it is split into two parts: JK, and KL. We have our values, and we know that JK+KL=JL, so we can substitute our values and solve for x:

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To solve for x, we have to isolate it on one side of the equation.

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<u>So, our x=3, which means that KL=3.</u>

I hope this was helpful, keep learning! :D

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