155k views
1 vote
Show steps to find f(g(x))

Show steps to find f(g(x))-example-1

1 Answer

6 votes

To find f(g(x)) for f(x) = x² + x + 2 and g(x) = x - 3, substitute g(x) into f(x), expand and simplify to get x² - 5x + 8.

The question asks to find f(g(x)), where f(x) = x² + x + 2 and g(x) = x - 3. To find f(g(x)), you substitute g(x) into every instance of x in f(x). This process is often referred to as composition of functions. The steps are as follows:

Find g(x): g(x) = x - 3.

Substitute g(x) into f(x): f(g(x)) = (x - 3)² + (x - 3) + 2.

Expand and simplify the expression to find the result.

The expanded form would be

Square the binomial: (x - 3)² = x² - 6x + 9.

Add the linear term from g(x) and the constant: -6x + 9 + x - 3 + 2.

Combine like terms: x² - 5x + 8.

Therefore, the function f(g(x)) simplifies to x² - 5x + 8.

User Victor Eronmosele
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories