Ответ:
1)
[tex]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[/tex]
2) [tex]f(x) = 2x - 1[/tex]
a)
[tex]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[/tex]
б)
[tex]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[/tex]
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
3) таблица:
x 14 [tex]\frac{8}{7}[/tex] -1.4 -7
y 6 0 8.4 9
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Answers & Comments
Ответ:
1)
[tex]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[/tex]
2) [tex]f(x) = 2x - 1[/tex]
a)
[tex]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[/tex]
б)
[tex]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[/tex]
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 [tex]\frac{8}{7}[/tex] -1.4 -7
y 6 0 8.4 9