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

Pair of function Option B is Inverse of Each other.

Step-by-step 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

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

By comparing with given inverse function.

Its clear its the correct option.

C).

Given function: f(x) =

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

y = f(x)

x = f(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

By comparing with given inverse function.

Its clear its not the correct option.

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

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