Given that,Now,f(-1) = 3(-1) = -3 [since -1<1 and f(x) = 3x for x≤ 1]f(2) = 22 = 4 [since 2<3 and f(x) = x2 for 1<x≤ 3]f(4) = 2(4) = 8 [since 4>3 and f(x) = 2x for x>3]∴ f (– 1) + f (2) + f (4) = -3+4+8 = 9

Q. 464.3( 3 Votes )

Let f :R →<

Class 12th Mathematics - Exemplar 1. Relations and Functions

Answer :

Given that,

Now,

f(-1) = 3(-1) = -3 [since -1<1 and f(x) = 3x for x≤ 1]

f(2) = 2² = 4 [since 2<3 and f(x) = x² for 1<x≤ 3]

f(4) = 2(4) = 8 [since 4>3 and f(x) = 2x for x>3]

∴ f (– 1) + f (2) + f (4) = -3+4+8 = 9

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