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Nataly_w [17]
4 years ago
6

If f(x) = 1-x2 and g(x) = 1 - x which is the rule of function (f – g)(x)?

Mathematics
1 answer:
V125BC [204]4 years ago
6 0

Answer:

-x^2 +x

Step-by-step explanation:

f(x) = 1-x^2

g(x) = 1 - x

f(x) - g(x) = 1-x^2  - (1 - x )

Distribute the minus sign

              = 1-x^2 -1 +x

Combine like terms

             = -x^2 +x

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Johan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. Which explains whether his solu
lutik1710 [3]

Answer:

we have two solution x = 5 and x = 11

but in given problem x = 5 and x = –11

thus, only one of his solution x = 5 is correct

Step-by-step explanation:

Given

–2|8 – x| – 6 = –12

adding 6 both sides

–2|8 – x| – 6 +6= –12 +6

–2|8 – x|  = –6

dividing both side by -2

–2|8 – x| /-2 = –6/-2

=>|8 – x|  = 3

we know that

in modulus function |Y| = -y or y

Thus

|8 – x|  = 3

can be written as

8-x = 3   or          8- x = -3

8-x-3 = 0  or      8-x+3 = 0

5-x = 0     or      11 -x = 0

x = 5       or x = 11

thus, we have two solution x = 5 and x = 11

but in given problem x = 5 and x = –11

thus, only one of his solution x = 5 is correct

8 0
3 years ago
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