EVALUATE THE INDICATED VALUE OF COMPOSITION FUNCTION FROM THE TABLE

Evaluate the indicated expression assuming that f, g, and h are the functions completely defined by the tables below :

(i)  (f o g) (1) 

(ii)  (f o g) (3)

(iii)  (g o f) (1)

(iv)  (g o f) (3) 

(v)  (f o f) (2)  

(vi) (f o g o h) (2)  

(vii)  (h o g o f) (2)

Solution :

(i)  (f o g) (1)

(f o g) (1) = f[g(1)]

= f(2)

= 1

(ii)  (f o g) (3)

(f o g) (3) = f[g(3)]

= f(1)

= 4

(iii)  (g o f) (1) 

(g o f) (1) = g[f(1)]

= g(4)

= 3

(iv)  (g o f) (3)

(g o f) (3) = g[f(3)]

= g(2)

= 1

(v)  (f o f) (2)

(f o f) (2) = f[f(2)]

=  f(1)

= 4

(vi) (f o g o h) (2)

(f o g o h) (2) = (f o g)[h(2)]

(f o g) (3)

f[g(3)]

= f(1)

= 4

(vii)  (h o g o f) (2)

(h o g o f) (2) = (h o g)[f(2)]

(h o g) (1)

= h[g(1)]

= h(2)

= 3

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. Multiplicative Inverse Worksheet

    Jan 19, 22 09:34 AM

    Multiplicative Inverse Worksheet

    Read More

  2. Multiplicative Inverse

    Jan 19, 22 09:25 AM

    Multiplicative Inverse - Concept - Examples

    Read More

  3. Graphing Linear Functions Worksheet

    Jan 19, 22 08:24 AM

    Graphing Linear Functions Worksheet

    Read More