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Yr11 Functions

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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)?

1
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)

1
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)).

1
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.