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Which of the following pairs of functions are inverses of each other

Which of the following pairs of functions are inverses of each other-example-1
User Seeker
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2 Answers

1 vote
i think it would be B i think i am wrong though
User Eugen Labun
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3 votes

Answer:

Pair of function Option B is Inverse of Each other.

Explanation:

A).

Given function: f(x) = 6x³ + 10

To find inverse first put y = f(x) then interchange y & x and solve for y

y = f(x)

x = f(y)

x = 6y³ + 10


6y^3=x-10


y^3=(x-10)/(6)


y=^{\sqrt[3]{(x-10)/(6)}}

By comparing with given inverse function.

Its clear its not the correct option.

B).

Given function: f(x) = 4x³ + 5

To find inverse first put y = f(x) then interchange y & x and solve for y

y = f(x)

x = f(y)

x = 4y³ + 5


4y^3=x-5


y^3=(x-5)/(4)


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

By comparing with given inverse function.

Its clear its the correct option.

C).

Given function: f(x) =
^{\sqrt[3]{x+3}}-5

To find inverse first put y = f(x) then interchange y & x and solve for y

y = f(x)

x = f(y)


x=^{\sqrt[3]{y+3}}-5


x+5=^{\sqrt[3]{y+3}}


(x+5)^3=y+3


(x+5)^3-3=y

By comparing with given inverse function.

Its clear its not the correct option.

D).

Given function: f(x) = (4x-3)³

To find inverse first put y = f(x) then interchange y & x and solve for y

y = f(x)

x = f(y)

x = (4y-3)³

4y-3 = ∛x

4y = ∛x + 3


y=\frac{^{\sqrt[3]{x}}+3}{4}

By comparing with given inverse function.

Its clear its not the correct option.

Therefore, Pair of function Option B is Inverse of Each other.

User Septih
by
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