Question

F(x)=4/9-x 1)найди значение функции :f(5)f(3)f(1) 2) найдите значение x,при которых f(x)=-4 f(x)=2

Answer 1

F(x)=4/(9-x)
1)
f(5)=4/(9-5)=4/4=1
f(3)=4/(9-3)=4/6=2/3
f(1)=4/(9-1)=4/8=1/2
2)
-4=4/(9-x)
-4(9-x)=4
9-x=-1
x=9+1
x=10

2=4/(9-x)
2(9-x)=4
9-x=2
x=9-2
x=7

Answer 2

F(5) = 4/(9-5) = 4/4 = 1
f(3) = 4/(9-3) = 4/6 = 2/3
f(1) = 4/(9-1) = 4/8 = 1/2

x = 9 - 4/F(x)

F(x) = -4,  x= 9 - 4/(-4) = 9 + 1 = 10
F(x)=2,   x= 9 - 4/2 = 9 - 2 =7

Answer 3

I assume the given function is:

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f(x) = 4/(9 - x)

1. To find the values of f(5), f(3), and f(1), we substitute the respective values of x in the function:

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f(5) = 4/(9 - 5) = 4/4 = 1
f(3) = 4/(9 - 3) = 4/6 = 2/3
f(1) = 4/(9 - 1) = 4/8 = 1/2

Therefore, f(5) = 1, f(3) = 2/3, and f(1) = 1/2.

2. To find the values of x where f(x) = -4 and f(x) = 2, we substitute the respective values of f(x) in the function and solve for x:

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When f(x) = -4:
-4 = 4/(9 - x)
-4(9 - x) = 4
-36 + 4x = 4
4x = 40
x = 10

When f(x) = 2:
2 = 4/(9 - x)
2(9 - x) = 4
18 - 2x = 4
-2x = -14
x = 7

Therefore, the value of x for f(x) = -4 is x = 10 and the value of x for f(x) = 2 is x = 7.