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Please help Let f(x) = 4x + 5 and g(x) = 9x − 4. Find the function. f − g

(f − g)(x) =

Find the domain. (Enter your answer using interval notation.)

(f-g)(x) = f(x) - g(x) = (4x+5) - (9x-4)

the domain of all polynomials is (-∞,∞)

Did you know?

Did you know that in mathematics, combining functions is known as function composition? When we subtract one function from another, such as f(x) - g(x), it is called subtracting functions. For instance, given f(x) = 4x + 5 and g(x) = 9x - 4, we can find the function (f - g)(x) by subtracting the respective terms. In this case, (f - g)(x) = (4x + 5) - (9x - 4), which simplifies to -5x + 9. Furthermore, the domain of a function refers to the set of all possible input values that a function can take. In interval notation, we can find the domain by considering any restrictions on the function. In this case, since f(x) and g(x) are both linear functions, there are no restrictions on the input values. Therefore, the domain for (f - g)(x) is (-∞, +∞), representing all real numbers.