Если f (x) = 1/2x - 4x и g (x) = 3/x + 7, то найдите: а) f (1) + g (1) + g (-1/2). b) f (1/2) + 1/8g (-1 / 4. c) f (-2) - g (3). d) 4f (2) + 3g (1/3).

решение:

а)

f (1) = 1/2*1-4*1=1/2-4=-3.5

g (1) = 3/1+7=10

g (-0.5) = 3 / (-0.5) + 7=1

f (1) + g (1) + g (-0.5) = - 3.5+10+1=7.5

b)

f (1/2) = 1/2*1/2-4*1/2=0.25-2=-1.75

g (-1/4) = 3 / (-1/4) + 7 = - 12+7=-5

f (1/2) + 1/8g (-1/4) = - 1.75+1/8 * (-5) = - 1.75-0.625=-2.375

c)

f (-2) = 1/2 * (-2) - 4 * (-2) = - 1+8=7

g (3) = 3/3+7=1+7=8

f (-2) - g (3) = 7-8=-1

d)

f (2) = 1/2*2-4*2=1-8=-7

g (1/3) = 3/1/3+7=9+7=16

4f (2) + 3g (1/3) = 4 * (-7) + 3*16=-28+48=20