Part B: Find (m ⋅ n)(x). Show your work.
Part C: Find m[n(x)]. Show your work.
For this case we have the following functions:
For the sum of functions we have:
Substituting values:
Adding similar terms we have:
For the multiplication of functions we have:
Substituting values:
If we apply the distributive property we have:
Adding similar terms we have:
For the composition of functions we have:
Rewriting we have:
The resulting expression is 1.5 times the quantity (a - 3).
Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
To factor the coefficient from 1.5a - 4.5, we can first factor out the greatest common factor (GCF) of the two terms.
The GCF of 1.5a and 4.5 is 1.5:
1.5a - 4.5 = 1.5(a - 3)
So, we have factored out the coefficient of 1.5 from the original expression.
The resulting expression is 1.5 times the quantity (a - 3).
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15
7
{−4, 1, 5, 8}
{−4, 8, 5, 1, 5}
No domain exists
The correct answer would be B. When we find the range or domain we only list repeating values once.