Functions Practice Problems: Level 01

Let us solve a few practice problems of Functions to understand the concept of Functions in math better.
Q.1.If f(x) = 3x + 2 & g(x) = x2 – 1. Find f(g(-3))
a) 26
b) 29
c) 45
d) 35
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Q.2. Given f(x) = x2 + x ; if x is a prime number.f(x) = 2x + 5 ; if x is non- prime
Find f(f(1))
a) 54
b) 45
c) 46
d) 56
Q.3. Given f(x) = x3 + 1,
g(x) = 2x – 5
h(x) = [f(x)]2 – g(x)
Find h(-2)
a) 34
b) -23
c) -12
d) 58
Q.4.Given g(x) = x3 – x2 + 2 ; if x is an odd number
g(x) = 2x + 5 ; if x is an even number
Find g(g(3))
a) 35
b) 45
d) 56
d) 58
Q.5.f(x,y) = x + y ; if both x & y are even
f(x,y) = x – y ; if both x & y are odd
f(x, y) = 2x – y2 , if any one of them is odd & other is even.
Find f(2, 3) – f(2, 4)
a) -31
b) -56
c) -11
d) -13
Q.6.f(x,y) = x2 + y ; if both x & y are prime
f(x,y) = x + 2y ; if both x & y are composite
f(x, y) = x + y , if any one of them is prime & other is composite.
Find f(5, 3) + f(3, 6)
a) 47
b) 37
c) 57
d) 67
Directions for questions 7 to 10: Read the instructions and solve the questions accordingly
x # y = x + y
x @ y = x – y
x & y = x2 – y2
x $ y = (x + y)2
Q.7.Find 3 # (4 $ 6)
a) 23
b) 256
c) 103
d) 109
Q8.Find [3 @ (7 # ( 5 & 3) ]
a) -20
b) -23
c) -34
d) -45
Q9.Find -3 $ (6 & (4 # 3))
a) 361
b) 121
c) 144
d) 987
Q10.. Find the 3 $ (4 & (5 & 6))
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a) -102
b) -56
c) -34
d) -23