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Let f : R→R be a function such that f(x) =   Then f(2) equal

(a)

8

(b)

2

(c)

4

(d)

30



Question ID - 56771 | SaraNextGen Top Answer

Let f : R→R be a function such that f(x) =   Then f(2) equal

(a)

8

(b)

2

(c)

4

(d)

30

1 Answer
127 votes
Answer Key / Explanation : (b) -

f(x) =

⇒  (x) = 3        ……(1)

⇒  = 6x + 2(1)                             ……(2)

⇒  (x) =6                                                 …...(3)

put x = 1 in equation (1) :

 (1) = 3 + 2 (1) +  (2)                          …..(4)

put x = 2 in equation (2) :

 (2) = 12 + 2 (1)                                      …..(5)

from equation (4) & (5) :

3  (1) = 12 + 2(1)

⇒3(1) = 15

(1) = 5  ⇒   (2) = 2                          ….(6)

Put x = 3 in equation (3) :

 (3) = 6

  f(x) =

f(2) = 8 20 +4 +6 = −2.

127 votes


127