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Need help on this one please hurry

Need help on this one please hurry-example-1

1 Answer

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Answer: The answer is F

Explanation:

To figure out if it is equal, you can use the second equation to check and see what the new function will be when you solve it

Second Equation:
f(x)=(x-3)^3+4

Steps:

1. Substitute y for f(x):
y=(x-3)^3+4

2. Interchange x and y:
x=(y-3)^3+4

3. Swap sides of the equation:
(y-3)^3+4=x

4. Move constant to the right and change sign:
(y-3)^3=x-4

5. Take the root of both sides of equation:
y-3=\sqrt[3]{x-4}

6. Move constant to right and change sign again:
y=\sqrt[3]{x-4} +3

7. Substitute
f^(-1)(x) for
y to get answer:
f^(-1)(x)=\sqrt[3]{x-4}+3

This answer is False because the the numbers in this equation we just checked (-4 and +3) are not the same as the first equation


f^(-1)(x)=-3 +\sqrt[3]{x+4} where the signs are flipped (+4 and -3)

User Shantanu Banerjee
by
8.3k points

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