Question

If f (x) = x over 2 - 2 and g(x) = 2x squared + x - 3, find (f + g) (x)

Answer 1

`f(x) = (x)/(2) - 2 \\`

`g(x) = 2x + {(x - 3})^(2)`

`f(x) + g(x) = (f + g)(x)`

`( (x)/(2) - 2) +( 2x + ({x - 3})^(2) \: ) = \\`

`(x)/(2) - 2 + 2x + {x}^(2) - 6x + 9 = \\`

`{x}^(2) - 6x + 2x + (x)/(2) + 9 - 2 = \\`

`{x}^(2) - 4x + (x)/(2) + 7 = \\`

`{x}^(2) - (8)/(2)x - (1)/(2)x + 7 = \\`

`(f + g)(x) = {x}^(2) - (9)/(2)x + 7 \\`

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Done....

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