Question

Find (f o f)(0). f(x) = 3x - 2

Answer 1

(f o f)(0) = f(f(0))

f(0) = 3(0) - 2 = -2

so

f(f(0)) = 3(-2) - 2 = -6 - 2 = -8

Answer

(f o f)(0) = -8

Answer 2

(f o f)(0) = -8

Explanation:

The given function is
`f(x)=3x-2`

Let us find the composite function (fof)(x)

`(fof)(x)=f(f(x)\\\\=3(3x-2)-2\\\\=9x-6-2\\\\=9x-8`

Now, substituting, x = 0 in this composite function to find (f o f)(0)

`(fof)(0)=9(0)-8\\\\0-8\\\\=-8`

Thus, we have

(f o f)(0) = -8