The functions f and g are defined for x R by f: x 3x +
Question:
The functions f and g are defined for x ∈ R by f: x ↦ 3x + 2 g: x ↦ x² + 1
a) Find the values of x for which fg(x) = gf(x).
b) Find an expression for (fg)−¹(x), stating its domain.
c) Explain why (fg)−¹(x) is not a function.
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ANSWER a To find the values of x for which fgx gfx we need to calculate fgx and gfx and then eq...View the full answer
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Related Book For 
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
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