Complete numerical representations for the functions f and g

Complete numerical representations for the functions f and g are given. Evaluate the expression, if possible. (f g) Use the (able to determine if f is one-to-one. If so, use the table for f(x) find a table for f^-1 (x).

Solution

7) (f o g)(x) .It means f(g(x))

g(6) =y.So, find the value of y= g(6) then find f(y) in table of f(x)

g(6) = 8

Now f(8) = 1

So, (f o g)(6) =1

8) x = -2 -12 16

f(x) = 3 -18 6

A function for which every element of the range of the function corresponds to exactly one element of the domain. One-to-one is often written 1-1

f is 1 to 1

So, for inverse: x = f(x) : -18 3 6

  f^-1(x) = x : -12 -2 16