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harina [27]
3 years ago
7

-inverse functions Find the formula for f^-1(x): F(x) = 3x^3 - 5

Mathematics
1 answer:
mamaluj [8]3 years ago
3 0
<h2>Writing the Inverse of a Function</h2><h3>Answer:</h3>

f^{-1}(x) = \sqrt[3]{\frac{x +5}{3}}\\

<h3>Step-by-step explanation:</h3>

<em>Please refer to my Answer from this Questions to know more about Inverse Functions: <u>brainly.com/question/24619467</u></em>

Let y = f(x) so that the inverse of y is equal to f^{-1}(x).

Solving for f^{-1}(x):

f(x) = 3x^3 -5 \\ y = 3x^3 -5 \\ x = 3y^3 -5 \\ 3y^3 -5 = x \\ 3y^3 = x +5 \\ y^3 = \frac{x +5}{3} \\ y = \sqrt[3]{\frac{x +5}{3}}

Since the inverse of y is equal to f^{-1}(x), f^{-1}(x) = \sqrt[3]{\frac{x +5}{3}}\\.

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Which of the following statements are true about the graph of f(x) = -2tan(3x - 6) + 1? Select all that apply.
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3 years ago
Isabelle invested $25,000 into an account that earns 3% annual interest compounded quarterly. If she makes no other deposits int
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Answer: $45451

Step-by-step explanation:

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A = P(1+r/n)^nt

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From the information given,

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