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ConceptComposition of Functions and Invertible Function

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#### Question

If the function *f* : R → R be defined by *f*(*x*) = 2*x* − 3 and *g* : R → R by *g*(*x*) = *x*^{3} + 5, then find the value of (fog)^{−1} (*x*).

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Let f : W → W be defined as

`f(n)={(n-1, " if n is odd"),(n+1, "if n is even") :}`

Show that f is invertible a nd find the inverse of f. Here, W is the set of all whole

numbers.

#### Reference Material

Solution for concept: Composition of Functions and Invertible Function. For the courses 12th CBSE (Arts), 12th CBSE (Commerce), 12th CBSE (Science), 12th HSC Arts, 12th HSC Science (Computer Science), 12th HSC Science (Electronics), 12th HSC Science (General) , 12th ISC (Arts), 12th ISC (Commerce), 12th ISC (Science), PUC Karnataka Science