CBSE Class 12-science Maths Composition Of Functions
Learn CBSE Class 12 Science Mathematics Relations and Functions – Composition of Functions with simplified concept demonstrations in our video lessons. With TopperLearning’s video explanations, find out how to establish the condition for a function to be invertible. Our expert uses visual elements and clearly explains the concept of the range of a function in our online video lessons.
Practising the CBSE Class 12 Science Maths multiple choice questions in our sample papers is a great way to ascertain your conceptual clarity. For more learning support, explore our textbook solutions, sample papers and other resources. In addition, feel free to visit the UnDoubt section of our learning portal to resolve your doubts in Maths with subject experts.
- Show that f:A-B and g:B-C are onto function then g°f:A-C is onto function?
- Define invertible function.
- Let be the functions defined as f(1) = 3, f(3) = 4, f(5) = f(7) = 8 and g(3) = g(4) = 7 and g(6) = g(8) = 10. Find gof.
- If are defined as f(x) = cos x and g(x) = x2. Show that .
- If and are one-one functions, then show that is also one-one.
- If are defined as f(x) = log (1 + x) and g(x) = ex. Find fog(x) and gof(x).
- If is defined as f(x) = x3 – 2. Find f–1(62).
- Let be defined by f(x) = 3x – 2 and be defined by Show that fog = IR.
- Let given by . Show that f is invertible with
- If show that fof(x) = x for all . Also find the inverse of f.
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