9514 1404 393
Answer:
(a) g^-1(x) = ±√(x -1)
(b) 0
(c) 17
Step-by-step explanation:
(a) The inverse is found by solving for y:
x = g(y)
x = y² +1
x -1 = y² . . . . . . subtract 1
y = ±√(x-1) . . . . take the square root
g^-1(x) = ±√(x -1) . . . . in functional form
Note: the inverse of g(x) is not a function, because it is double-valued.
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(b) f(h(-2)) = f(-2+1) = f(-1) = f(-1+1)
f(h(-2)) = 0
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(c) g(f(3)) = g(3+1) = g(4) = 4² +1
g(f(3)) = 17
Answer:
x=3/5
Step-by-step explanation:
-3(4x-7)=15-2x
-12x+21=15-2x
-12x+2x=15-21
-10x=-6
x=3/5
The formula of a volume of a rectangle prism:
l - length
w - width
h - height
We have
Substitute:
<h3>Answer: V = (10n³ + 50n² + 20n + 100) in³</h3>
Answer: y2-y1/x2-x1
Step-by-step explanation: The x of the points are -7 and -4. The y of the points are 3 and 3. That means that the points -7 and -4 pass through the the x axis, and the same with the y. Now, just plug in the numbers and solve.