The value of f(h(2)) =2 and h(f(16))= 14
<h3>What is function?</h3>
Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input . Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters . The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved.
given:
f(x)= √x-1 , h(x)= x² + 5
Now,
f(h(2))= f( (2)² +5 )
=f(4+5)
=f(9)
=√9-1
= 3-1
=2
h(f(16)) = h( √16-1)
=h( 4-1)
=h(3)
=3² + 5
=9+5
=14
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Answer: The coordinates would be (4,-5)
Answer:
circle= 5, triangle= 3
Step-by-step explanation:
Please see attached picture for full solution.
Answer:
All real numbers except for 5.
Step-by-step explanation:
The domain of rational functions is determined by the denominator. The denominator cannot equal zero since if they do, the function will be undefined.
Thus, we need to find the zero(s) of the denominator to determine the domain.
Therefore, the domain of the rational function is all real numbers except for 5.
In set builder notation, this is:
Let the length of one side of the cube be x. Then the surface area of the cube is A = 6x^2 = 1014 cubic units. We want the cube volume, so must first solve for x and then cube the result:
1014 cu. in.
x = square root of ----------------- = sqrt(169) = 13
6
The volume of this cube is thus (13 units)^3 = 4826809 cubic units.
