Q1) Solve the equation fg(x) = 27. Firstly, we must find the composite function fg(x) in terms of x before we solve it. In order to do this, we can break down the function in the following way: fg(x) = f[g(x)] = f(x+5) As you can see, we have broken down fg(x) into a function of g within a function of f.

(f+g)(x) is shorthand notation for f(x)+g(x). So (f+g)(x) means that you add the functions f and g (f-g)(x) simply means f(x)-g(x). So in this case, you subtract the functions. (f*g)(x)=f(x)*g(x). So this time you are multiplying the functions and finally, (f/g)(x)=f(x)/g(x). Now …

You can put this solution on YOUR website! I think one is a composition where you substitute for . The other is an actual multiplication of two functions.

Let f(x) = 2x + 1 and g(x) = x^2 - 4 (fg)(x) has two meanings whether it is component wise multiplication or composition if it is multiplication then (fg)(x) = f(x)*g(x) and if it is composition then (fg)(x) = f(g(x)). There are condition underwhich each of the above is valid I am assuming it is multiplication here

Next I would explain the range of fg is dependant of the funtions themselves. An expression would need to be derived for fg, and hence using the known domain of g, the range of fg could be determined. This would best be explained by example e.g. f(x) = (x+4)^0.5 , 2(x)^2 - 3

c) Solve fg(x) = gf(x). Hint: Calculate f(g(x)) first. Then think. -----Comment from student: Thanks i have solved the two questions! im still stuck on the last one though, i have found fg(x) and gf(x), what would i do next?----- My response: If you just have the expressions for fg(x) and gf(x), you have to connect these two expressions

You can put this solution on YOUR website! f+g(x) means add the functions: 9-6x+x+7=-5x+16 (f + g)(x) = [-5x+16]

Algebra -> Rational-functions-> SOLUTION: If f(x)= 4x-5 & g(x)=3x find (fg) (x) Log On Algebra: Rational Functions, analyzing and graphing Section Solvers Solvers

Question 421490: The question says: Find x and the measure of each side of the triangle. This is the problem: Triangle FGH is equilateral with FG= x+5, GH= 3x-9, and FH= 2x-2. I don't understand how to find the answer. Answer by edjones(8007) (Show Source):

You can put this solution on YOUR website! The set-up is: For each pair of functions, find (f+g)(x), (f-g)(x), and (fg)(x)...Then evauluate each function at 2.