Q2 of 118 Page 3

If f(x) = (x – a)2(x – b)2, find f(a + b).

Given f(x) = (x – a)2(x – b)2


We need to find f(a + b).


We have f(a + b) = (a + b – a)2(a + b – b)2


⇒ f(a + b) = (b)2(a)2


∴ f(a + b) = a2b2


Thus, f(a + b) = a2b2


More from this chapter

All 118 →
18

Express the function f : X → R given by f(x) = x3 + 1 as set of ordered pairs, where X = {–1, 0, 3, 9, 7}.

 1

If f(x) = x2 – 3x + 4, then find the values of x satisfying the equation f(x) = f(2x + 1).

 3

If, show that x = f(y).

 4

If, show that f[f{f(x)}] = x.