Q4 of 70 Page 11

Let f :R → R be the function defined by f (x) = 2x – 3 ∀ x ∈ R. write f–1.

Given that f(x) = 2x-3


Let f(x) = y, then 2x-3 = y


⇒


⇒ [∵ f(x) = y, ⇒ x = f-1(y)]


Hence, f-1 : R → R is given by


More from this chapter

All 70 →
2

Let D be the domain of the real valued function f defined by . Then, write D.

 3

Let f, g :R → R be defined by f(x) = 2x + 1 and g (x) = x2 – 2, i∀ x ∈ R, respectively. Then, find g o f.

 5

If A = {a, b, c, d} and the function f = {(a, b), (b, d), (c, a), (d, c)}, write f–1.

 6

If f :R → R is defined by f (x) = x2 – 3x + 2, write f (f (x)).