K(x)=10x+5 inverse function

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03-05-2018
Mathematics

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K(x)=10x+5 inverse function

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MrGumby MrGumby · Answer 1 · 2018-07-18T21:14:13+02:00

The inverse of the function is k(x) = [tex] \frac{x - 5}{10} [/tex]

You can find the inverse of any function by switching the k(x) value and the x value. After that, solve for the new k(x). The result will be your inverse function. The step-by-step process is below.

k(x) = 10x + 5 ----> Switch the x and k(x)

x = 10k(x) + 5 ----> Subtract 5 from both sides

x - 5 = 10k(x) ----> Divide both sides by 10.

[tex] \frac{x - 5}{10} [/tex] = k(x) ----> Now switch the order for formatting

k(x) = [tex] \frac{x - 5}{10} [/tex]

And this is your new inverse function.