Sign In

Mathematics for IGCSE & O level - Functions (Section 4)

1
What function transforms x to (x-5)/4?
Answer
(A)
f(x) = 4x+5
2
If g(x) = x/4, what is g(-4)?
Answer
(B)
-1
3
Given the function f: x -> 2x - 3, what is f(5)?
Answer
(B)
7
4
Given g(x) = 7 - 3x, what is g(1)?
Answer
(A)
4
5
If f(x) = 2x - 3 and g(x) = x+4, find the composite function, g(f(x)).
Answer
(A)
2x+1
6
Given f(x) = 2x-3 and g(x) = x+4, find the composite function, f(g(x)).
Answer
(A)
2x+5
7
Given f(x) = 3(2x-5), find f(3).
Answer
(B)
9
8
If f(x) = x + 4e, which is correct?
Answer
(D)
All of the above
9
Given f(x) = x + 2/3 and g(x) = 3x + 2, find the expression for f(g(x))?
Answer
(B)
3x + 8/3
10
Given f(x) = 3(2x-5) , find f(1).
Answer
(A)
-9
11
If f(x) = 3x-5, find f(f(x)).
Answer
(B)
9x - 10
12
What values of x are not included in the domain of f(x) = 1/(x^2-4)?
Answer
(A)
2,-2
13
If g(x) = 6 - 2x, find g(0).
Answer
(B)
6
14
If f(x) = 4x - 2, what is f⁻¹(x)?
Answer
(A)
(x + 2) / 4
15
When f(x) = (x+1)/(x-1), find the value of x when f(x) = 0.
Answer
(A)
-1
16
Given f(x)=x+1 and g(x)=x^2, which expression is correct?
Answer
(D)
g(f(x))=x^2+2x+1
17
Which of the following statements is/are correct about composite functions, g(f(x))?
Answer
A
D
18
Given f(x) = 2x - 3 and g(x) = x + 4, find g(f(x)) when x =1
Answer
(C)
5
19
If g(x) = 6 - 2x, find g(-1).
Answer
(A)
8
20
Given that f(x) = 2x + 1 and g(x) = x^2, what is g(f(x))?
Answer
(A)
4x^2+4x+1
21
If f(x) = x^2 + 3, what is f(1)?
Answer
(A)
4
22
For the function g(x) = 5x + 2, what is g(0.5)?
Answer
(B)
3.5
23
Which of the following statements is true regarding inverse functions?
Answer
A
B
C
24
Given f(x) = 2x+1 and g(x) = x^2, what is g(2)?
Answer
(B)
4
25
If g(x)=x+5 and f(x)=2x-7, what is f(g(2))?
Answer
(A)
-2
26
If g(x) = 7 - 3x, what is g(-2)?
Answer
(B)
13
27
If f(x) = x^2 + 3 and the domain is {0, 1, 1.5}, what is f(1.5)?
Answer
(A)
5.25
28
If the range of f(x) is (2,4,6,8), what is the possible domain?
Answer
A
B
29
What is the inverse function of f(x)=4x + 5?
Answer
(A)
(x-5)/4
30
If f(x) = 2x+1 and g(x) = x^2, find f(g(2))
Answer
(C)
10
31
What is the inverse of f(x) = x - 2?
Answer
(A)
x+2
32
If f(x) = x + 4e, where e is a constant, find f(0).
Answer
(B)
4e
33
If f(x) = 3x - 5, what is f⁻¹(7)?
Answer
(B)
4/3