Mathematics for IGCSE & O level - Functions (Section 4)
1
What function transforms x to (x-5)/4?
2
If g(x) = x/4, what is g(-4)?
3
Given the function f: x -> 2x - 3, what is f(5)?
4
Given g(x) = 7 - 3x, what is g(1)?
5
If f(x) = 2x - 3 and g(x) = x+4, find the composite function, g(f(x)).
6
Given f(x) = 2x-3 and g(x) = x+4, find the composite function, f(g(x)).
7
Given f(x) = 3(2x-5), find f(3).
8
If f(x) = x + 4e, which is correct?
9
Given f(x) = x + 2/3 and g(x) = 3x + 2, find the expression for f(g(x))?
10
Given f(x) = 3(2x-5) , find f(1).
11
If f(x) = 3x-5, find f(f(x)).
12
What values of x are not included in the domain of f(x) = 1/(x^2-4)?
13
If g(x) = 6 - 2x, find g(0).
14
If f(x) = 4x - 2, what is f⁻¹(x)?
15
When f(x) = (x+1)/(x-1), find the value of x when f(x) = 0.
16
Given f(x)=x+1 and g(x)=x^2, which expression is correct?
17
Which of the following statements is/are correct about composite functions, g(f(x))?
18
Given f(x) = 2x - 3 and g(x) = x + 4, find g(f(x)) when x =1
19
If g(x) = 6 - 2x, find g(-1).
20
Given that f(x) = 2x + 1 and g(x) = x^2, what is g(f(x))?
21
If f(x) = x^2 + 3, what is f(1)?
22
For the function g(x) = 5x + 2, what is g(0.5)?
23
Which of the following statements is true regarding inverse functions?
24
Given f(x) = 2x+1 and g(x) = x^2, what is g(2)?
25
If g(x)=x+5 and f(x)=2x-7, what is f(g(2))?
26
If g(x) = 7 - 3x, what is g(-2)?
27
If f(x) = x^2 + 3 and the domain is {0, 1, 1.5}, what is f(1.5)?
28
If the range of f(x) is (2,4,6,8), what is the possible domain?
29
What is the inverse function of f(x)=4x + 5?
30
If f(x) = 2x+1 and g(x) = x^2, find f(g(2))
31
What is the inverse of f(x) = x - 2?
32
If f(x) = x + 4e, where e is a constant, find f(0).
33
If f(x) = 3x - 5, what is f⁻¹(7)?
