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Inverse and Composite Functions

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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 Eduqas 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

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Inverse and Composite Functions

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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 Eduqas GCSE Maths Inverse and Composite Functions. Each one has a worked solution and a mark scheme showing where the marks go.