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junior college 2 | H2 Maths
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For (ii),
Does (gf)^-1(5) mean y=5? (Where y=gf^-1) or does it mean sub value of x as 5?
Date Posted: 4 years ago
Views: 681
gf (x) = some expression in terms of x = 5
Solve for x
Solve for x
Okay thanks! Thought so too, just that school provided answer was to let gf(x)=5 which threw me off.
It means sub x=5 into (gf)-1(x).
Since inverse graphs have their X and Y coordinates swapped, X=5 in (gf)-1(x) is actually Y=5 for its inverse ie gf(x)=5.
Which is why your schools provided answer let gf(x)=5.
Since inverse graphs have their X and Y coordinates swapped, X=5 in (gf)-1(x) is actually Y=5 for its inverse ie gf(x)=5.
Which is why your schools provided answer let gf(x)=5.
If (gf)-¹(5) = a, then gf (a) = 5
The coordinates for a point on a function are always reverse when you map the point onto its inverse function.
They are reflections/mirror images of each other about the line y = x.
Eg. (a,b) on function ↔ (b,a) on inverse
So let gf(x) = 5
Solve for x. This is the 'hence' method.
The 'otherwise' method would be to find (gf)-¹ (x) then sub x = 5.
The coordinates for a point on a function are always reverse when you map the point onto its inverse function.
They are reflections/mirror images of each other about the line y = x.
Eg. (a,b) on function ↔ (b,a) on inverse
So let gf(x) = 5
Solve for x. This is the 'hence' method.
The 'otherwise' method would be to find (gf)-¹ (x) then sub x = 5.
Ooo Okok thanks guys!
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