Maths Gcse Edexcel Higher
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Scatter-Graphs-And-Correlation Edexcel Higher2 主题
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Capture-Recapture Edexcel Higher
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Averages-From-Grouped-Data Edexcel Higher
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Transformations Edexcel Higher5 主题
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3D-Pythagoras-And-Trigonometry Edexcel Higher1 主题
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Factorising Edexcel Higher6 主题
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Introduction Edexcel Higher7 主题
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Rounding-Estimation-And-Bounds Edexcel Higher2 主题
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Fractions-Decimals-And-Percentages Edexcel Higher3 主题
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Simple-And-Compound-Interest-Growth-And-Decay Edexcel Higher4 主题
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Percentages Edexcel Higher3 主题
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Fractions Edexcel Higher4 主题
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Powers-Roots-And-Standard-Form Edexcel Higher4 主题
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Prime-Factors-Hcf-And-Lcm Edexcel Higher4 主题
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Number-Operations Edexcel Higher10 主题
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Product-Rule-For-Counting Edexcel Higher
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Systematic-Lists Edexcel Higher
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Related-Calculations Edexcel Higher
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Multiplication-And-Division Edexcel Higher
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Addition-And-Subtraction Edexcel Higher
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Money-Calculations Edexcel Higher
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Negative-Numbers Edexcel Higher
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Irrational-Numbers Edexcel Higher
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Order-Of-Operations-Bidmas-Bodmas Edexcel Higher
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Mathematical-Symbols Edexcel Higher
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Product-Rule-For-Counting Edexcel Higher
Inverse-Functions Edexcel Higher
Exam code:1MA1
Inverse functions
What is an inverse function?
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An inverse function does the opposite (reverse) operation of the function it came from
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E.g. If a function “doubles the number then adds 1”
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Then its inverse function “subtracts 1, then halves the result”
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The same inverse operations are used when solving an equation or rearranging a formula
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An inverse function performs the inverse operations in the reverse order
What notation is used for inverse functions?
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The inverse function of
is written as
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For example, if
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The inverse function is <img alt=”straight f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator x minus 1 over denominator 2 end fraction” data-mathml=”<math ><semantics><mrow><msup><mi mathvariant=”normal”>f</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mn>2</mn></mfrac></mrow><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true,”toolbar”:”<toolbar ref=’general’><tab ref=’general’><removeItem ref=’setColor’/><removeItem ref=’bold’/><removeItem ref=’italic’/><removeItem ref=’autoItalic’/><removeItem ref=’setUnicode’/><removeItem ref=’mtext’ /><removeItem ref=’rtl’/><removeItem ref=’forceLigature’/><removeItem ref=’setFontFamily’ /><removeItem ref=’setFontSize’/></tab></toolbar>”}</annotation></semantics></math>” height=”47″ role=”math” src=”data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Awrs%3D%22http%3A%2F%2Fwww.wiris.com%2Fxml%2Fmathml-extension%22%20height%3D%2247%22%20width%3D%22109%22%20wrs%3Abaseline%3D%2230%22%3E%3C!–MathML%3A%20%3Cmath%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmsup%3E%3Cmi%20mathvariant%3D%22normal%22%3Ef%3C%2Fmi%3E%3Cmrow%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmo%3E(%3C%2Fmo%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E)%3C%2Fmo%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3C%2Fmath%3E–%3E%3Cdefs%3E%3Cstyle%20type%3D%22text%2Fcss%22%3E%40font-face%7Bfont-family%3A’math135b31cfba37a56451b4768509d’%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMi7iBBMAAADMAAAATmNtYXDEvmKUAAABHAAAADxjdnQgDVUNBwAAAVgAAAA6Z2x5ZoPi2VsAAAGUAAAA%2FGhlYWQQC2qxAAACkAAAADZoaGVhCGsXSAAAAsgAAAAkaG10eE2rRkcAAALsAAAADGxvY2EAHTwYAAAC%2BAAAABBtYXhwBT0FPgAAAwgAAAAgbmFtZaBxlY4AAAMoAAABn3Bvc3QB9wD6AAAEyAAAACBwcmVwa1uragAABOgAAAAUAAADSwGQAAUAAAQABAAAAAAABAAEAAAAAAAAAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAg1UADev96AAAD6ACWAAAAAAACAAEAAQAAABQAAwABAAAAFAAEACgAAAAGAAQAAQACAD0iEv%2F%2FAAAAPSIS%2F%2
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