The functions f and g are defined for x R by f x 5 3x g x (x 1) a) Find the set of values which satisfy gf(x) 25 b) Sketch on the same diagram the graphs of y f(x) and y f 1 (x), showing the coordinates of their point of intersection and making clear the relationship between the graphs ...

ANSWER a To find the values that satisfy gfx 25 we need to substitute ...

The functions f and g are defined for x R by f: x 5

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The functions f and g are defined for x ∈ R by
f: x ↦ 5 − 3x
g: x ↦ (x − 1)²

a) Find the set of values which satisfy gf(x) ≤ 25.

b) Sketch on the same diagram the graphs of y = f(x) and y = f⁻¹(x), showing the coordinates of their point of intersection and making clear the relationship between the graphs.

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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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Question Posted: Apr 13, 2023 11:00 AM

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The functions f and g are defined for x R by f: x 5

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Complete Pure Mathematics 1 For Cambridge International AS & A Level

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