1. Course: Mathematics for Computing-I (9423)
Semester: Autumn 2021
Assignment No. 01
Question No.01:
Find the natural domain of the function algebraically and confirm that your result is consistent with the
graph;
3. Course: Mathematics for Computing-I (9423)
Semester: Autumn 2021
Question No.02:
a) Solve |𝑥 + 4| = 10 and graph the solution
x+4 = ±10
x+4 = 10 x+4 = -10
x = 10-4 x = -10-4
x = 6 x = -14
b) Find the limit lim 𝑛→0 𝑥 / |𝑥| and check the continuity at 𝑥 = 0 ?
c) Let f(𝑥) = 10𝑥 − 9 and 𝑔(𝑥) = 5𝑥 then find the composition of (𝑓𝑜𝑔)(𝑥)
4. Course: Mathematics for Computing-I (9423)
Semester: Autumn 2021
f(x) = 10x-9
g(x) = 5x
(fog)(x) = 10(g(x))-9
(fog)(x) = 10(5x)-9
(fog)(x) = 50x-9
Question No.03:
Find Formulas for 𝑓𝑜𝑔 𝑎𝑛𝑑 𝑔𝑜𝑓 and state the domains of the functions:
I
Domain (fog) = IR
Domain (gof) = IR - {0}
II
Domain (fog) = IR
Domain (gof) = IR
III
5. Course: Mathematics for Computing-I (9423)
Semester: Autumn 2021
Domain (fog) = IR
Domain (gof) = IR – {0}
Question No.04:
a)
6. Course: Mathematics for Computing-I (9423)
Semester: Autumn 2021
Hence limit exist.
b)
I change the variable θ to x.
Question No.05:
a) Solve 7𝑥 + 9 ≥ 10𝑥 − 12 and Graph the solution.
7x + 9 ⟩ 10x-12
=> 10x - 7x < 12 +9
=> 3x < 21
=> x < 21/3
=> x < 7
So your graph draw in decreasing order, which curve show less than seven.
b) Draw the graph of (𝑥) =
