makaylalynch01 makaylalynch01
  • 12-11-2021
  • Mathematics
contestada

Suppose that the functions f and g are defined for all real numbers x as follows.
f(x)=x+3
g(x) = 4x+4

Suppose that the functions f and g are defined for all real numbers x as follows fxx3 gx 4x4 class=

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reinhard10158
reinhard10158 reinhard10158
  • 12-11-2021

Step-by-step explanation:

when you do an arithmetic operation to functions, you do it for the defining expressions.

so,

(f+g)(x) = (x + 3) + (4x + 4) = x + 3 + 4x + 4 = 5x + 7

(f*g)(x) = (x+3)*(4x+4) = 4x² + 12x + 4x + 12 = 4x² + 16x + 12

= 4(x² + 4x + 3)

(f-g)(4) = (4+3) - (4×4+4) = 7 - (16+4) = 7 - 20 = -13

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