Learning Resources

Composition of Functions

Answers to Self Test

1.(a)  ()(x) = -8x + 17        ;Domain = {All real numbers}  

   (b)   ()(x) = -8x + 11       ;Domain = {All real numbers}  

2.(a)  ()(x) = 4x² + 1          ;Domain = {All real numbers}  

   (b)   ()(x) = 8x² + 24x + 17     ;Domain = {All real numbers}  

3.(a)  ()(x) =             ;Domain = {x | x ³  0  and x ¹  4}

   (b)   ()(x) =            ;Domain = {x | x > -2}

4.(a)  ()(x) =             ;Domain = {x | x  ¹ -1  and x  ¹ -2}

   (b)   ()(x) =          ;Domain =

5.  = f(g(h(x))) =

6.  (a) ()(3) = -4

     (b) ()(6) = 5

     (c) ()(0) = -3

     (d) ()(4) = -3