For the Functions F(x) and G(x), Evaluate the Indicated Function

question 69

Multiple Choice

For the functions f(x) and g(x) , evaluate the indicated function.
-The number of male lawyers, in thousands, in a certain country in a particular year can be approximated by the function f(x) = 11.4x + 214, where x represents the number of years after 1985.
The number of female lawyers , in thousands, in a certain country in a particular year can be
Approximated by the function g(x) = 10.3x + 162, where again x represents the number of years
After 1985.
(i) Find (f + g) (x) . Explain, in your own words, what this function represents.
(ii) Find (f + g) (40) . Explain, in your own words, what this number represents.

• A) (i) (f + g)(x) = 173.4x + 224.3; this is the total number of lawyers, in thousands, in a certain country x years after 1985.
• (ii) 7160.3; there will be 7,160,300 lawyers in a certain country in the year 2025.
• B) (i) (f + g)(x) = 225.4x + 172.3; this is the total number of lawyers, in thousands, in a certain country x years after 1985.
• (ii) 9188.3; there will be 9,188,300 lawyers in a certain country in the year 2025.
• C) (i) (f + g)(x) = 397.7x; this is the total number of lawyers, in thousands, in a certain country x years after 1985.
• (ii) 15,908; there will be 15,908,000 lawyers in a certain country in the year 2025.
• D) (i) (f + g)(x) = 21.7x + 376; this is the total number of lawyers, in thousands, in a certain country x years after 1985.
• (ii) 1244; there will be 1,244,000 lawyers in a certain country in the year 2025.

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Definitions:

Asymmetric Induction

The process by which a chiral center influences the configuration of another chiral center in a chemical reaction.

Optically Active

Refers to a molecule that has the ability to rotate the plane of polarized light, a characteristic of chiral compounds.

Stereochemical Detail

Information regarding the spatial arrangement of atoms in a molecule and how this affects its chemical behavior and reactions.

Organic Product

A compound resulting from an organic reaction, often referring to naturally derived or synthetically produced carbon-based chemicals.