Pictures attached. i'm like 99.9% sure that my inflection point is also, nothing i try for the local extremes is

we are given

For finding inflection point, we will find second derivative

now, we can find derivative again

now, we can set it to 0

and then we can solve for x

we get

we know that inflection point is a point where concavity changes

so, we will draw a number line and locate x=-7/4

and then we can find sign of second derivative on each interval

Concave up interval:

Concave down interval:

Since, concavity changes at x=-7/4

So, there will be inflection point at x=-7/4

now, we can find y-value

So, the inflection point is

..............Answer

7.3

step-by-step explanation: