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wolverine [178]
4 years ago
10

Help Needed!!!..............................

Mathematics
2 answers:
kompoz [17]4 years ago
5 0

Answer:

Part(B) is the correct answer

Step-by-step explanation:

Given functions are

f(x) = 4x^3+5   and g(x) = \sqrt[3]{x-5/4}

So both are inverse of each other

Since Definition of inverse function is

If a function f(x) is  mapping from x to y , then the inverse function  of f(x) maps

y back to x.

Solution

suppose

y = f(x)

y = 4x^3+5

in order to find inverse of f(x)

interchange the variables x and y

x = 4y^3+5

Now solve for y

Subtract 5 from both sides we get

4y^3 = x-5

Divide both sides by 4 we get

y^3 = (x-5)/4

y = \sqrt[3]{x-5/4}

so this is the inverse of the f(x) and also from this we see that  is g(x) = \sqrt[3]{x-5/4}

This is Answer.

Sergeeva-Olga [200]4 years ago
3 0

Answer:

I think D.

Step-by-step explanation

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