Course home

Inverse and Composite Functions

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94

Question 78

The function $f\,$ is defined such that

f (x) = 4 x - 1

Verify that $f−1(x)=x+14\displaystyle f^{-1}(x) = \frac{x + 1}{4}$

[2]

The function $g\,$ is defined such that $g(x) = kx^2$ where $k\,$ is a constant. Given that $k=1316\displaystyle k = \frac{13}{16}$ , verify that $f g (2) = 12$ .

[2]

Markscheme

Inverse and Composite Functions Questions

GCSE
Maths
Inverse and Composite Functions

136 exam-style questions on OCR GCSE Maths Inverse and Composite Functions. Each one has a worked solution and a mark scheme showing where the marks go.

Inverse and Composite Functions

Question bank

Inverse and Composite Functions

Easy Medium Hard

Question 78

The function $f\,$ is defined such that

f (x) = 4 x - 1

Verify that $f−1(x)=x+14\displaystyle f^{-1}(x) = \frac{x + 1}{4}$

[2]

The function $g\,$ is defined such that $g(x) = kx^2$ where $k\,$ is a constant. Given that $k=1316\displaystyle k = \frac{13}{16}$ , verify that $f g (2) = 12$ .

[2]

Markscheme

Inverse and Composite Functions Questions

GCSE
Maths
Inverse and Composite Functions

136 exam-style questions on OCR GCSE Maths Inverse and Composite Functions. Each one has a worked solution and a mark scheme showing where the marks go.