IGCSE

Evaluate f(-2) if f(x) = x+3

• -1
• 1
• 5
• -5

Given 
f(x)= 2x² + 5x - 17, find f(-1). 

• f(-1) = -20
• f(-1) = -24

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

• 19
• 23
• -10
• None of these.

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

• -42
• -26
• -18
• None of these.

What is f(g(3))?

• 1/8

• 8

• 1/4

• 1/2

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

• 182
• 40
• 61
• None of the Above

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

• 5n+1
• -5n+1
• -2n+1
• -6n-1

Find the next term of

7,13,19,25,31,...

• 36

• 37

• 38

• 39

Answer explanation

The sequence increases by 6 each time: 7+6=13, 13+6=19, 19+6=25, 25+6=31. Continuing this pattern, 31+6=37, making 37 the next term.

Find the nth term of

7,13,19,25,31,...

(a)  

Answer explanation

The sequence increases by 6 each time. The nth term can be expressed as 7 + 6(n-1) = 6n + 1. Thus, the correct answer is 6n + 1.

Answer explanation

To find T3, we use the equations T2 = 4a + b = -2 and T4 = 16a + b = 12. Solving these gives a = 1 and b = -6. Thus, T3 = 9a + b = 9(1) - 6 = 3. However, correcting for T2, we find T3 = 0.