B | NOVEMBER 2022 GRADE 12 MATHEMATICS P1 - Straight-line functions : Question 5 | PAPER 1

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GRADE 12
Mathematics ( P1 )
NOVEMBER 2022

NOVEMBER 2022'

QUESTION 5
The graphs of g(x) = 2x + 6 and , −1
g the inverse of g, are shown in the diagram below.
• D and B are the x- and y-intercepts respectively of g.
• C is the x-intercept of −1
g .
• The graphs of g and −1
g intersect at A.
5.1 Write down the y-coordinate of B. (1)
5.2 Determine the equation of −1
g in the form g ( x ) = mx + n. −1 (2)
5.3 Determine the coordinates of A. (3)
5.4 Calculate the length of AB. (2)
5.5 Calculate the area of ∆ABC. (5)
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