How many discontinuities does the piecewise function have.?

Answer is 3.

The function is not continuous at the points

x=-3: x=3 and x = 5

Explanation:

Consider the left and right limits of the funciton at these points.

i) x=-3

Left limit =

right limit = [/tex]2/3  (9)-1 = 5[/tex]

Since left limit not equals right limit not continuous at x =-3

ii) x=3

Left limit = 5 and right limit = -7(3)/2+29/2 = 4

Since left limit not equals right limit not continuous at x =3

iii) x=5

Left limit = 7(5)/2+29/2 = 32

Right limit = log (2*5-4) = log 6

Since left limit not equals right limit not continuous at x =5.

Thus there are 3 discontinuities.

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x equals 1

step-by-step explanation:

f(4)=f(×)

x=1