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Let f and g be real functions defined by f (x) = 2x + 1 and g (x) = 4x – 7.

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Let f and g be real functions defined by f (x) = 2x + 1 and g (x) = 4x – 7.

(a) For what real numbers x, f (x) = g (x)?

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

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We have,f(x) = 2x + 1 and g(x) = 4x-7

(a) Now f (x) = g(x)

=> 2x+l=4x-7

=> 2x = 8 =>x = 4

(b) f (x) < g(x)

=> 2x + 1 < 4x – 7

=> 8 < 2x

=> x > 4

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