CelesteZ158547 CelesteZ158547

Today at 9:06 AM
Mathematics

Answered

Consider the following functions.f(x) = (x + 4 and g(x) = x - 1Step 1 of 2: Find the formula for (fºg)(x) and simplify your answer. Then find the domain for (fºg)(x). Round your answer to two decimal places, if necessary.

Answer :

AmjadV56571 AmjadV56571

Today at 9:11 AM

To find (f•g)(x) we need to solve the product of the expressions for each of the functions, this way:

[tex]\begin{gathered} (f\cdot g)(x)=f(x)\cdot g(x) \\ =(x+4)\cdot(x-1) \\ =x^2-x+4x-4 \\ =x^2+3x-4 \end{gathered}[/tex]

The obtained is a polynomic function. In this kind of functions, the domain has no restrictions, it means that the domain of this function is All real numbers.

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