g(x) = x2 - 8. To take the composition of f and g (fog), replace the x in f(x) with g(x ). (fog)(x) = 8g(x) + 2 [f(x) = 8x + 2]. (fog)(x) = 8(x2 - 8) + 2.
He then adds these functions together, with the equation (f+g)(x). After addition comes How To: Solve operations on rational functions (f o g)(x). Solve operations on How To: Solve rational inequalities using sine charts.
Similarly, g is defined for x > b and fog (x) is defined for g (x) > a which is i.e: domain of (fog) (x) is the intersections of the solution sets of the inequalities x > b .
Question 1. Find (f o g)(-2) given that. f(x) = -3x + 2 and g(x) = |x - 4|. Solution to question 1 note that (f o g)(-2) = f(g(-2)) evaluate g(-2). g(-2) = |-2 - 4| = 6.
For f(x) = 2x + 3 and g(x) = -x 2 + 1, find the composite function defined by (f o g)(x ). Solution to Question 1: . f(g(x)) = g(f(x)) for any two functions f and g.
We will be solving (F?G)(x), when f(x)=3/(x-2) and g(x)=2/x. f(x) and g(x) cannot be undefined, and therefore x cannot be equal to the number.
Sometimes we need to solve Inequalities like these: Solving. Our aim is to have x (or whatever the variable is) on its own on the left of the inequality sign.