Based on the calculations, the unknown number is equal to
Translate the word problem into an algebraic expression, we have;
Adding 21 to the unknown number:
Multiplying the result by 3:
84 more than two-thirds of the unknown number:
Equating the equations, we have:
Cross-multiplying, we have:
Read more on word problems here: brainly.com/question/13170908
Answer:
, domain: all real numbers
Step-by-step explanation:
The two functions that we have in this problem are:
and
Here we have to calculate
(f+g)(x)
Which is equivalent to:
Taking the two functions and substituting into this expression, we find:
We also have to find the domain of the new function. However, we notice that there are no restrictions on the value of x, since this is a second-order function with no denominators, logarithms or roots: therefore, the domain is all real numbers.