Question

3) [8 marks] Find fog and go f, where fx) -x+2 and glx) x+3, are functions from R to R. 4) [9 marks] Consider the proposed function,f: A x B x C ? D, as defined in the following table, where A B-C-D 0,1 Input Output ABC? D 1 0I 1 00 0 0 0 0I 0 0 Is fa function? Justify your answer. That is, if it is a function use the arrow diagram to show it is a function. If it is not a function explain why 5) [9 marks] What are the values of these sums, where S-,3,7? a) 2jesj c) 2jes1 6) [8 marks Find the solution to each of these recurrence relations with the given initial conditions. Use an iterative approach. a) a,--an-I , a,-5 a.-an-1 + 3 , a,-1 b)

Answer 1

If you post more than 1 question, as HOMEWORKLIB RULES guidelines I have to solve only first question.

Ques 3.

• fog

Now,

  

So,

Now, if we use input in R, then the value is also in R as there is not imaginary value returned by fog.

Hence, fog is R to R.

• gof

Now,

So,

Now, if we use input in R, then the value is also in R as there is not imaginary value returned by gof.

Hence, gof is R to R.