(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:
REALS. all real numbers are solution for the equation
Step-by-step explanation:
for the equation
x² = (x + 3)*(x − 3) + 9
distributing the terms in the parenthesis
x² = (x + 3)*(x − 3) + 9 = [x² - 3*x + 3*x - 3*3 ] + 9
x² = x² - 9 + 9
0 = 0
since this statement will be true regardless of the value of x , then the equation has solution for all real numbers .
4:2 because it goes cars then buses
Answer:
the answer is C
Step-by-step explanation:
the final aswer is letter C
Answer:
The correct complex numbers would be, -2 - 4i and 2 + 2i
(−2 − 4i) − (2 + 2i) = -4 - 6i
Step-by-step explanation:
(−2 − 4i) − (2 + 2i)
Subtract 2 + 2i from −2 − 4i by subtracting corresponding real and imaginary parts.
−2 − 2 + (−4 − 2)i
Subtract 2 from −2. Subtract 2 from −4.
-4 - 6i
So, the correct complex numbers would be, -2 - 4i and 2 + 2i