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# piecewise function

+1
110
4

Let

$f(x) = \left\{ \begin{array}{cl} x^2+4 & \text{ if }x < 7, \\ x+13 & \text{ if } x \geq 7. \end{array} \right.$

What is f(f(f(17)))?

Feb 23, 2021

#1
+73
+4

First we can start off by plugginng in the f(17)

In the function when you plug in a value greater than or equal to 7 you use the formula x + 13,

so your next function is f(f(30)),

you can do the same thing becasue 30 is greater than 7,

so your new function is f(43),

Then you can do this one last time becasue 33 is greater than 7,

and you are left with 56.

f(f(f(17))) = 56

Feb 23, 2021
edited by Zenitsu  Feb 23, 2021
#2
+32853
+2

Agree with Zenitsu, but I get    56   as final answer .....

Feb 23, 2021
#3
+73
+4

Oh the first time I applied the function I got 20 instead of 30,

Thanks

Zenitsu  Feb 23, 2021
#4
+120166
+1

THX,  Zenitsu  +  EP !!!!!

CPhill  Feb 23, 2021