Question

I really don’t know how to write formulas for this. I never seen a formula written like f, g, h. Help.

a. Formulas can be represented as f(x), g(x), h(x).

b. Formulas are typically written as f1, f2, f3.

c. Formulas are expressed as f + g = h.

d. Formulas are denoted as f * g = h.

Answer 1

Formulas can be written as functions (f(x)), indexed (f1, f2), or with operations (f + g = h, f * g = h).

Formulas are mathematical expressions that describe relationships between variables or quantities. The notation used to represent formulas can vary, and the options you provided highlight different conventions:

a. f(x), g(x), h(x): In this format, f, g, and h are functions of the variable x. For example, f(x) = 2x,
`g(x) = x^2`, and h(x) = f(x) + g(x) would represent a formula where h is the sum of f and g.

b. f1, f2, f3:Here, the subscripts indicate different formulas. For instance,
`f1(x) = x^2` and f2(x) = 2x could represent two distinct formulas.

c. f + g = h:This notation indicates that the formula h is the sum of f and g. For example, if f(x) = 2x and
`g(x) = x^2`, then h(x) = f(x) + g(x) would be a formula represented in this manner.

d. f g = h:In this case, the formula h is the product of f and g. For instance, if f(x) = 2x and
`g(x) = x^2`, then h(x) = f(x) * g(x) would represent the multiplication of f and g.

In summary, these notations serve different purposes. The choice of notation often depends on the context and the specific mathematical relationship being expressed. Each format has its own significance and is commonly used in different branches of mathematics and science.