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ISC (Commerce) इयत्ता १२ - CISCE Question Bank Solutions

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If the function f : R → R be defined by f(x) = 2x − 3 and g : R → R by g(x) = x3 + 5, then find the value of (fog)−1 (x).

[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined

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.

[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined

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If f(x) = [4 – (x – 7)3]1/5 is a real invertible function, then find f–1(x).

[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined

Let `f : R {(-1)/3} → R - {0}` be defined as `f(x) = 5/(3x + 1)` is invertible. Find f–1(x).

[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined
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