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Find the values of   x for which the functions f ( x ) = 3 x 2 − 1 and g ( x ) = 3 + x are equal.

0 2 Views | Posted 4 months ago
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    Answered by

    Payal Gupta | Contributor-Level 10

    4 months ago

    This is a short answer type question as classified in NCERT Exemplar

    G i v e n     t h a t :         f ( x ) = 3 x 2 − 1     a n d     g ( x ) = 3 + x Since  f(x)=g(x)                  (given) ⇒                                               3 x 2 − 1 = 3 + x         ⇒ 3 x 2 − x − 4 = 0 ⇒ 3 x 2 − 4 x + 3 x − 4 = 0         ⇒ x ( 3 x − 4 ) + 1 ( 3 x − 4 ) = 0 ⇒               ( 3 x − 4 ) ( x + 1 ) = 0         ⇒ 3 x − 4 = 0         o r         x + 1 = 0 ⇒                   3 x = 4         o r         x = − 1 ∴                           x = 4 3 H e n c e ,     t h e     v a l u e     o f     x     a r e     − 1     a n d     4 3 .

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