Barrett works at an ice cream shop. the function f(x) represents the amount of money in dollars barrett earns per gallon of ice
1 answer:
Amount of money earned per number of hours of work =
- A composite function is generally a function that is written inside another function.
- Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”.
To evaluate a composite function f(g(x)) at some x = a, first compute g(a) by substituting x = a in the function g(x). Then substitute g(a) into the function f(x) by substituting x = g(a). In the same way, we can calculate g(f(a)) as well.
Required calculation -
Amount of money (the earning) per unit x =
Number of gallons of ice cream that Barrett makes per hour, where x is the number of hours he works =
we are to find the composite function
Substituting g(x) into the x of f(x), we find:
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Answer:
U₂₁ and U₂₂ fits in the line of upper triangular
Step-by-step explanation:
As explain in the question
An upper triangular matric is square matrix with all zeros below its daignal. A lower triangular matrix is a square matrix with all zeros above its diagonal.
(as shown in the attached image)
(a)for all 3×3 upper triangular matirices U, verify that U2 is also upper triangular
for a matrices U (having a 3*3 matrix), assuming for example, U is given below:
U =
the element in the upper triangular are 1,2,3,5,6,9 (U₁₁, U₁₂, U₁₃; , U₂₂, U₂₃, U₂₂)
while lower triangular are 0,0,0, the element in the lower triangular are (U₂₁, U₃₁,U₃₂)
U₂₁ and U₂₂ fits in the line of upper triangular
