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1Edexcel A Level June 2018 Paper 2 Q1
g(x) = (2x + 5)/(x - 3), x >= 5. (a) Find gg(5). (2) (b) State the range of g. (1) (c) Find g^-1(x), stating its domain. (3)
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Part (a):
Part (b):
Part (c):
2Edexcel A Level June 2022 Paper 2 Q10
The function f is defined by f(x) = (8x + 5)/(2x + 3), x > -3/2. (a) Find f^-1(3/2). (2) (b) Show that f(x) = A + B/(2x + 3), where A and B are constants to be found. (2) The function g is defined by g(x) = 16 - x^2, 0 <= x <= 4. (c) State the range of g^-1. (1) (d) Find the range of fg^-1. (3)
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Part (a):
3Edexcel A Level June 2019 Paper 2 Q6
Figure 4 shows a sketch of the graph of y = g(x), where g(x) = (x - 2)^2 + 1 for x <= 2 and g(x) = 4x - 7 for x > 2. (a) Find the value of gg(0). (2) (b) Find all values of x for which g(x) > 28. (4) The function h is defined by h(x) = (x - 2)^2 + 1, x <= 2. (c) Explain why h has an inverse but g does not. (1) (d) Solve the equation h^-1(x) = -1/2. (3)
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Part (a):
4Edexcel A Level June 2023 Paper 1 Q7
The function f is defined by f(x) = 3 + sqrt(x - 2), x in R, x > 2. (a) State the range of f. (1) (b) Find f^-1. (3) The function g is defined by g(x) = 15/(x - 3), x in R, x != 3. (c) Find gf(6). (2) (d) Find the exact value of the constant a for which f(a^2 + 2) = g(a). (2)
5Edexcel A Level June 2024 Paper 1 Q8
The functions f and g are defined by f(x) = 4 - 3x^2, x in R, and g(x) = 5/(2x - 9), x in R, x != 9/2. (a) Find fg(2). (2) (b) Find g^-1. (3) (c) (i) Find gf(x), giving your answer as a simplified fraction. (ii) Deduce the range of gf(x). (3) The function h is defined by h(x) = 2x^2 - 6x + k, x in R, where k is a constant. (d) Find the range of values of k for which the equation f(x) = h(x) has no real solutions. (3)
