Answer: All the real values except x ≠ 7 and the x for which f(x)≠-3
Step-by-step explanation:
Since, For function f , the domain is R - {7}
That is, If x is any element of the domain of the function f,
Then, x ≠ 7
(gof)(x) = g(f(x))
Since, For the function g, the domain is R - {-3}
Thus, If f(x) is any element of the domain of the function g,
Then f(x)≠ -3
Hence, Fourth Option is correct.
Answer:
-1/4x² + 3
Given that:
Path of sprinkler is modeled by the quadratic function :
w(x) = -1/4(x^2 -12 )
w(x) = height of the water, in meters, at position x
The height of ceiling as a constant or Coefficient = w(x)
Expanding w(x)
-1/4(x^2 -12 )
-1/4 * x² + 1/4 * 12
The height of ceiling is -1/4x² + 3
$35.76
12.60
23.10
--------
35.76
