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Yr11 Functions
By Ajay Singh
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Last updated almost 2 years ago
40 questions
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Question 1
1.
Is this a relation or a function? Explain your answer.
Question 2
2.
Is this is a relation or a function. Explain your answer.
Question 3
3.
Given the function f(x) = 3x^2 - 2x + 1, find the value of f(5).
Question 4
4.
If g(x) = x^3 - 4x^2 + 3x - 2, calculate the value of g(-1).
Question 5
5.
Assuming h(x) = 2x - 3 and g(x) = 3x + 2, what is h(g(2))?
Question 6
6.
Consider a function k(x) = 4x^2 - 1. What is k(-2)?
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10
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Question 7
7.
Find f(4)
1
Question 8
8.
Find g(0)
1
Question 9
9.
Find g(5)
1
Question 10
10.
Find the value of x such that f(x) = g(x)
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Question 11
11.
1
Question 12
12.
1
Question 13
13.
1
Question 14
14.
Question 15
15.
For
Find f(-x)
Question 16
16.
For
Find f(x+1)
Question 17
17.
State for domain and the range for:
Question 18
18.
State for domain and the range for:
Question 19
19.
State for domain and the range for:
Question 20
20.
State for domain and the range for:
Question 21
21.
Find the natural domain of:
Question 22
22.
Find the natural domain of:
Question 23
23.
Find the natural domain of:
Question 24
24.
Find the natural domain of:
Question 25
25.
Find the natural domain of:
Question 26
26.
Find the natural domain of:
Question 27
27.
Find the natural domain of:
Question 28
28.
Given two functions, f(x) = 3x + 2 and g(x) = x^2. What is the composite function f(g(x))?
Question 29
29.
Given f(x) = 2x - 3 and g(x) = x + 4. Find the composite function (f(g(x)) and simplify.
Question 30
30.
If f(x) = x^3 and g(x) = x - 2, what is g(f(x))?
Question 31
31.
Let f(x) = 5x+1 and p(x) = x^4. Find the composite function p(f(x)).
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Question 32
32.
Find f(g(x))
1
Question 33
33.
Hence find, f(g(5))
1
Question 34
34.
Find x such that f(g(x))= - 0.5
Question 35
35.
Given the function f(x) = 2x + 3, find the inverse of the function.
Question 36
36.
If g(x) = x^3 + 1, what is the inverse function?
Question 37
37.
Identify the inverse of the function of:
Question 38
38.
Calculate the inverse of function
Question 39
39.
Find the inverse function
Question 40
40.
Take a picture of your working out and upload it.
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