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
A statements that contradicts another statement is refered to as a contradiction.
Therefore, t<span>he statement 3 + 3 = 6 serves as a contradiction to the conjecture that the sum of two odd numbers is an odd number.</span>
The measure of the missing angle(a) in the isosceles triangle(two sides and angle equal) is 70 degrees.
<h3>What is an Isosceles triangle?</h3>
An Isosceles triangle is a triangle that has two of it sides equal to each other and two of it angles equal to each other.
The base angle of an isosceles triangle are equal. Therefore, let's find angle a in the triangle.
55 + 55 + a = 180
Recall the sum of angle in a triangle is 180 degrees.
110 + a = 180
subtract 110 from both sides
110 - 110 + a = 180 - 110
a = 70 degrees
learn more on Isosceles triangle here: brainly.com/question/4264350
Answer:
The function is maxima at x = 0.
Step-by-step explanation:
the function is
Differentiate with respect to x.
So, the function is maima at x = 0 .
Answer:
Between the 10- and 20- second marks
Step-by-step explanation:
in the first half of filling the container it started at 0- 10 and the points goes further to 30 which is 10 plus 20 equals to 30, which is between the 10- and 20- second marks.