Find the first three iterates of the function for the given initial value:

f (x) = 5x+4, x0=-3

-11, - 51 and - 251

Step-by-step explanation:

The inicial value of x is - 3

Now, to know the other three iterates of the function, we just need to calculate the value of the function, and them use this value as the input value for the function three times:

the first iterate is found using x0 as x:

f (-3) = 5 * (-3) + 4 = - 11

Now, we use x = - 11 in the function to find the second iterate:

f (-11) = 5 * (-11) + 4 = - 51

Nowwe use x = - 51 in the function to find the third iterate:

f (-51) = 5 * (-51) + 4 = - 251

So, the first three iterates of the function, given initial value x0 = - 3, are - 11, - 51 and - 251.