Question

сделайте пж с объяснением

Answer 1

Ответ:

1)

$f(x) = -0.1x-2\\1) f(x) = 1\\1 = -0.1x - 2\\0.1 x = -3\\x = -30\\2) f(x) = -100\\-100 = -0.1x-2\\0.1x = 98\\x = 980\\3)f(x) = -43.6\\-43.6 = -0.1x-2\\0.1x = 41.6\\x = 416$

2) $f(x) = 2x - 1$

a)

$f(3) = 2*3-1 = 6-1 = 5\\f(-4) = 2*(-4)-1 = -8 - 1 = -9\\f(0) = 2*0 - 1 = -1\\f(-0.5) = 2*(-0.5) -1 = -1-1 = -2\\f(3.2) = 2*3.2 - 1 = 6.4-1 = 5.4$

б)

$f(x)=7\\7 = 2x-1\\2x=8\\x=4\\\\f(x) = -9\\-9 = 2*x - 1\\2x = -8\\x = -4\\\\f(x) = 0\\0 = 2*x-1\\2x = 1\\x = 0.5\\\\f(x) = -2.4\\-2.4 = 2*x-1\\2x=-1.4\\x = -0.7$

в) f(5) = 9

9 = 2*5-1

9=9

верно, принадлежит

f(0.3) = 0.4

0.4=2*0.3 - 1

0.4 = 0.6-1

0.4 = -0.4

неверно неподходит

f(-3)=-7

-7 = 2*(-3) - 1

-7 = -7

верно, принадлежит

3) таблица:

x    14    $\frac{8}{7}$    -1.4      -7

y     6    0     8.4      9