If f(X)={X^2, X>3: 3X+4, 0<=X<=3; X^2+2, X<0}, find f(f(f(-1)))

[spartas]

Help me urgent please

IF f(X)={X², X>3 ; 3X+4, 0<X<3 ; X³+2 , X<0

find (f∘f∘f)(-1)

i dont know how to start this because f(x) is given with three terms and i dont know which to use! p.s the answer is 49!

 

[stapel]

Help me urgent please

IF f(X)={X², X>3 ; 3X+4, 0<X<3 ; X³+2 , X<0

find (f∘f∘f)(-1)

i dont know how to start this because f(x) is given with three terms and i dont know which to use! p.s the answer is 49!

A good place to start is with the algebra you learneed before you started calculus. You have been given a piecewise function, and have been asked to evaluate a function composition.

You are starting with f(-1). When x = -1, which rule for f(x) applies? What value is then output? This is your new input, for f(f(-1)).

You are now working with this new input x-value. For this new value, which rule for f(x) applies? What value is then output? This is your second new input, for f(f(f(-1))).

Now repeat, to complete the exercise. If you get stuck, please reply showing where you are getting stuck in the algebra. Thank you!