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Let f and g be real functions defined byf (x) = 2x + 1and g (x) = 4x - 7.
(a) For what real numbers x, f (x) = g (x)?

(b) For what real numbers x, f (x) < g (x)?

Answers (1)

Given data: f(x) = 2x + 1& g(x) = 4x -7

  1. Now, for, f(x) = g(x),

2x + 1 = 4x - 7

-2x = -8

Thus, x = 4, viz, the required real no.

  1. For, f(x) < g(x),

2x + 1 < 4x - 7

-2x < -8

Thus, 2x > 8

Thus, x > 4, viz., the required real no.

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