Question

If f(x)= x-4 what is f inverse of 2?

Answer 1

Answer:

f(2)=2-4

f(2)=-2

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Answer 2

$\huge\mathfrak\blue{Answer:}$

Given:

• We have Been Given a Function
• f (x) = x - 4

To Find:

• We have to find the inverse of given function f(x)
• The value of inverse of f(x) at 2

Solution:

We have been given a function such that

=> f (x) = x - 4

Let us assume f (x) = y

=> y = x - 4

=> x = y + 4

Hence can also be written as

=> f¯¹(y) = y + 4

We get the Inverse of function f(x) in terms of variable y as :

f¯¹(y) = y + 4

_________________________

Finding Value of f¯¹(y) at 2

Putting y = 2

=> f¯¹(y) = 2 + 4

=> f¯¹(y) = 6

_________________________

Hence the value of inverse of f(x) at 2 is 6 .