Question

For what value of x, f (x) =/2x-7/ is not differentiable​

Answer 1

Answer:

answer might be 7/2

Step-by-step explanation:

f(x) =|2(x)-7|

f(7/2)=|2(7/2)-7|

=|7-7|

=0

Answer 2

Answer:

The function f(x)=2x−∣x∣ can be written as

f(x)={

2x+x

2x−x

:

:

x≤0

x>0

.

Now,

x→0−

lim

f(x)=

x→0−

lim

3x=0.

And,

x→0+

lim

f(x)=

x→0+

lim

x=0.

So we've,

x→0−

lim

f(x)=

x→0+

lim

f(x)=f(0).

So the function f(x) is continuous at x=0.