Question

for what value of X,f(x)=2x-7 is not derivable

Answer 1

I think correct answer is 2

Answer 2

Therefore, the function f ( x ) = 2x -7 is derivable for all the values of x.

Given:

Function f( x ) = 2x -7

To Find:

The value of x for which the given function is not derivable.

Solution:

We can simply solve this numerical problem by using the following process.

Given that, f( x ) = 2x -7

The given function is continuous everywhere, as it is defined, the limit for the given function exists and the left-hand limit is equal to the right-hand limit.

Now, Checking for Derivability,

⇒ f¹ ( x ) = d/dx ( 2x - 7 )

⇒ f¹ ( x ) = 2

So, the Derivative of f ( x ) exists, and the definite and left-hand derivative is equal to the right-hand derivative.

Therefore, the function f ( x ) = 2x -7 is derivable for all the values of x.