Answer:
Given functions,
Since, by the compositions of functions,
1. (g◦f)(x) = g(f(x))
Since, (g◦f) is defined,
If 3 - x² ≥ 0
⇒ 3 ≥ x²
⇒ -√3 ≤ x ≤ √3
Thus, Domain = [-√3, √3]
2. (f◦g)(x) = f(g(x))
Since, (g◦f) is defined,
If x ≥ 0
Thus, Domain = [0, ∞)
3. (f◦f)(x) = f(f(x))
Since, (f◦f) is a polynomial,
We know that,
A polynomial is defined for all real value of x,
Thus, Domain = (-∞, ∞)
Answer:
y = (-3/2)x + 7
Step-by-step explanation:
3x + 2y = -4 (rearrange to slope intercept form y = mx + b)
2y = -3x - 4
y = (-3/2) x - 2
comparing this to the general form of a linear equation : y = mx + b
we see that slope of this line (and every line that is parallel to this line),
m = -3/2
if we sub this back in to the general form, we get:
y = (-3/2)x + b
We are still missing the value of b. To find this, we are given that the point (4,1) lies on the line. We simply substitute this back into the equation and solve for b.
1 = (-3/2)4 + b
1 = -6 + b
b = 7
substituting this back into the equation:
y = (-3/2)x + 7
Answer:
Its not A and B and I know that, but can you show the rest so I can see if its C because the rest of the picture isn't there
The answer for ure question is 12.8
