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lapo4ka [179]
2 years ago
5

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

Mathematics
2 answers:
g100num [7]2 years ago
7 0

Answer:

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

6y^3=x-10

y^3=\frac{x-10}{6}

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

y=^{\sqrt[3]{\frac{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.

tensa zangetsu [6.8K]2 years ago
3 0
I think it would be B i think i am wrong though
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