EVALUATING COMPOSITION OF FUNCTIONS FROM TABLE WORKSHEET

Problem 1 :

Use the table of values to evaluate each expression

Solution

Problem 2 :

Evaluating Composite Functions :

The tables give some selected ordered pairs for functions f and g

Solution

Problem 3 :

Use the tables of ordered pairs to determine the value of each composite function

Solution

Problem 4 :

The table below shows values of 𝑓(𝑥) at selected values of 𝑥. The function 𝑔(𝑥) is shown in the graph below.

Let h be the function defined by ℎ(𝑥) = 2|𝑥 − 4|.

Find: 

Solution

Use the values in the table to evaluate the indicated composition of functions.

Problem 5 :

Solution

Problem 6 :

(i)  f(13)

(ii)  f(6)

(iii)  g(15)

(iv)  g(13)

(v)  For what value of x, f(x) = 35 ?

(vi)  For what value of x, g(x) = 5 ?

Solution

Problem 7 :

(i)  f(4) = 

(ii)  g(1) = 

(iii)  g(4) =

(iv)  g(-6) = 

(v) For what value of x, f(x) is -24 ?

(vi) For what value of x, f(x) is 4 ?

Solution