(a) Using the table, give the values fo rthe inverse
1) original table of values:
x 1 2 3 4 5
f(x) 0 1 1 5 3
2) The inverse of the function is obtained by exchanging x and f(x), this is:
( x, f(x) ) → ( f(x), x)
3) So, the table of values of the inverse of the given function is:
x 0 1 1 5 3
f⁻¹ (x) 0 1 2 3 4
(b) Is the inverse a function?
No, the inverse is not a function, since the table of the inverse shows that the x -value 1 has two different images.
This ambigüity is opposite to the definition of a function, which requires that any input value has only one output. For that reason, the inverse is not a function. You cannot tell whether the image of 1 is 1 or 2, because both are images of the same value.
Answer:
See below
Step-by-step explanation:
<u>Number of squares:</u>
- 1x1 squares = 8*8
- 2x2 squares = 7*7
- 3x3 squares = 6*6
- 4x4 squares = 5*5
- 5x5 squares = 4*4
- 6x6 squares = 3*3
- 7x7 squares = 2*2
- 8x8 square = 1
<u>Total number:</u>
- 8² + 7² + 6² + 5² + 4² + 3² + 2² + 1 =
- 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 =
- 204
Answer: Jake is 9 and his dad is 33.
Step-by-step explanation: 9x3=27+6=33 9+33=42
Answer: x=-1/2
Step-by-step explanation:
8x=-4
divide by 8 on both sides
x=-1/2
Step-by-step explanation:
- 8+n/12=1
- 8+n=12
- n=4
- Hence n=4
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