The function f is such that f(x) 2x 1 for x The function g is such that g(x) 8 ax bx 2 for x k, where a, b and k are constants The function fg is such that fg(x) 17 24x 4x 2 for x k a Find the value of a and the value of b b Find the least possible value of k for which g has an inverse c For the va...

a To find the values of a and b we need to use the information given about fgx We know that fgx fgx ...

The function f is such that f(x) = 2x + 1 for x . The function

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The function f is such that f(x) = 2x + 1 for x ∈ ℝ.

The function g is such that g(x) = 8 − ax − bx² for x ≥ k, where a, b and k are constants.

The function fg is such that fg(x) = 17 − 24x − 4x² for x ≥ k.

a. Find the value of a and the value of b.

b. Find the least possible value of k for which g has an inverse.

c. For the value of k found in part b, find g⁻¹(x).

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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Authors: Sue Pemberton, Julian Gilbey

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The function f is such that f(x) = 2x + 1 for x . The function

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a To find the values of a and b we need to use the information given about fgx We know that fgx fgx ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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