Q8 of 215 Page 3

If f: R → R is given by f(x) = x3, write f–1(1).

Formula:-


(i)A function f: X → Y is defined to be invertible, if there exists a function g : Y → X


such that gof =Ix and fog = Iy. The function g is called the inverse of f and is denoted by f-1


f(x)=y


f-1(y)=x


f-1(1) =x


f(x)=1


x3=1


x3-1=0


(x-1) (x2+x+1)=0


X=1


More from this chapter

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6

If f: R→ R is defined by f(x) = x2, write f–1(25).

 7

If f : C → C is defined by f(x) = x2, write f–1(–4). Here, C denotes the set of all complex numbers.

 9

Let C denote the set of all complex numbers. A function f : C → C is defined by f(x) = x3.

Write f–1(1).


 10

Let f be a function from C (set of all complex numbers) to itself given by f(x) = x3. Write f–1(–1).