Question

For the function f(x) = x2 ­ -12, find (f o f­-1)(4)





A. 0


B. 6


C. 4


D. 10
Let f(x) = x + 2 and g(x) = x2 Find ( g o f)(-­5)







A.
49


B.
9


C. -10


D.
-3

Let f(x) = 3x + 2 and g(x) =x - 3. Find f(x) - g(x).





A. 4x - 1


B. 2x - 1


C. 2x - 5


D. 2x + 5






A.
-53


B.
23


C.
-9


D.
3







A.
-53


B.
23


C.
-9


D.
3






A. 0


B. 6


C. 4


D. 10

Answer 1

First, a little important housekeeping:

For the function f(x) = x2 ­ -12, find (f o f­-1)(4)
should be written as follows:\[f(x)=x^2-12;~find~(f o f ^{-1})(4)\]

Answer 2

Accuracy in presenting your math problems is quite important.

Note that functions and their inverses have an important property:
\[(f o f ^{-1})(x)=x\]

Answer 3

...This means that if you use the inverse function of f(x) as the INPUT of f(x), the result will be / must be x.