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Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesMatricesComplex NumbersFinancial Mathematics
Cartesian plane & linesFunction TheoryModellingTransformations & asymptotes
2D & 3D GeometryVoronoi DiagramsTrig equations & identitiesVectorsGraph Theory
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random VariablesInference & Hypotheses
DifferentiationIntegrationDifferential Equations
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
IB Math AIHL
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Transformations & asymptotes
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Problem Bank
IB Math AIHL
/
Transformations & asymptotes
/
Problem Bank

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[Maximum mark: 6]

The graph of ​y=g(x)​ is shown in the following for ​−3≤x≤5.

  1. Write down the value of ​g(3)​

    [1]
    Part (a):
    g(3)=
  2. Find the value of

    1. ​(g∘g)(5)​

    2. ​(g−1∘g−1)(1)​

      [3]
  3. Sketch the graph of ​y=g(x+1)−1​ on the axes above.

    [2]
[Maximum mark: 6]

The graph of ​y=g(x)​ is shown in the following for ​−3≤x≤5.

  1. Write down the value of ​g(3)​

    [1]
    Part (a):
    g(3)=
  2. Find the value of

    1. ​(g∘g)(5)​

    2. ​(g−1∘g−1)(1)​

      [3]
  3. Sketch the graph of ​y=g(x+1)−1​ on the axes above.

    [2]