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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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
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Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
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