ISC (Science) ISC Class 12 - CISCE Question Bank Solutions for Mathematics

If f : R `rightarrow` R is defined by `f(x) = (2x - 7)/4`, show that f(x) is one-one and onto.

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).

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.

If f : R → R, f(x) = x³  and g: R → R , g(x) =  2x² + 1, and R is the set of real numbers, then find fog(x) and gof (x)

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

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