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
Learn more about function here:
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So the function we're dealing with is
f(x) =
Factorising we get,
Therefore, the vertical asymptotes are at x = 3 and x = 6
1.) -8 + 10(6 + 4r)
First multiply the 10 into (6 + 4r)
-8 + 60 + 40r
52 + 40r
2.) (8m² - 8m + 8) - (2m - 7m² - 6)
Distribute the - into (2m - 7m² - 6)
8m² - 8m + 8 - 2m + 7m² + 6
Combine like terms
15m² - 10m + 14
(idk if you need to factor this or if you can leave it as is)
Answer:
The volume of water and air inside each of the plastic ice cubes is 3000mm³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, rectangular pyramid.
The volume of a rectangular pyramid is expressed as
V=(l*w*h)/3
Given data
Length l = 20mm
Width w= 15mm
Height h= 30mm
Substituting our given data we have
V= 20*15*30/3
V= 9000/3
V= 3000mm³
Answer:
The inequality for 
is:
Step-by-step explanation:
Given:
Width of rectangle = 3 ft
Height or length of rectangle = 
ft
Perimeter is at least 300 ft
To write an inequality for .
Solution:
Perimeter of a rectangle is given as:
⇒ 
where 
represents length of the rectangle and 
represents the width of the rectangle.
Plugging in the given values in the formula, the perimeter can be given as:
⇒ 
Using distribution:
⇒ 
Simplifying.
⇒ 
The perimeter is at lest 300 ft. So, the inequality can be given as:
⇒ 
Solving for
Subtracting both sides by 16.
⇒ 
⇒ 
Dividing both sides by 2.
⇒ 
⇒ (Answer)
