Answer:
28) -1
29) 9
30) x^2+4x+7
31) x-2
Step-by-step explanation:
<u>Given</u>:
f(x) = x + 2
g(x) = x^2 +3
<u>Find</u>:
28) f(-3)
29) f(g(2))
30) g(f(x))
31) f-1(x)
<u>Solution</u>:
Put the function argument values into the expression and do the arithmetic.
28) f(-3) = (-3) +2 = -1
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29) f(g(2)) = f((2)^2 +3) = f(7) = (7) +2 = 9
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30) g(f(x)) = g(x+2) = (x+2)^2 +3 = x^2 +4x +7
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31) The meaning of y = f^-1(x) is x = f(y).
x = f(y) = y+2
y = x -2
f^-1(x) = x -2
Answer:
22 feet
Step-by-step explanation:
width = x
length = 4 + 3x
Perimeter = 2(4+3x) + 2x
8+6x+2x =56
8x =48
x=6
4+3x=4+3times6=22 --> lenght
Answer: To find the excluded value in the domain of the function, equate the denominator to zero and solve for x .
Step-by-step explanation:
For example, in the problem below The domain of the function is set of real numbers except −3 . The range of the function is same as the domain of the inverse function. So, to find the range define the inverse of the function.
Answer:
18x^2+66x+60
Step-by-step explanation:
Three noncollinear points are contained in one and only one plane -- flat plane postulate. If two points are in a plane, then the line containing the points is in the same plane -- plane intersection postulate.
