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sergij07 [2.7K]
3 years ago
12

Plzzzzzz someone help I keep on getting a decimal answer that is 100% wrong. Please do number 14

Mathematics
1 answer:
ANEK [815]3 years ago
6 0
Im sorry number 14 of what?
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Let f(x)=(x-2)^3+8 Find the inverse of f(x). Please show steps in written form would be gladly appreciated
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Hello from MrBillDoesMath!

Answer:

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Discussion:

To find the inverse of a function swap the values of x and y in the original equation y = (x-2)^3 +8  and solve for y.

y = (x-2)^3 +8          =>  original function. swap x and y values

x = (y-2)^3 + 8        =>  subtract 8 from both sides

x - 8  = (y -2)^3        =>  take cube root of both sides

(x-8)^(1/3) = y - 2     => add 2 to both sides

(x-8)^(1/3) +2 = y      => y is the inverse



Thank you,

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