Perform the indicated operation.1) g(n) =n²+4+2nh(n) = -3n+2Find (g. h)(1)2) f(x)=4x-3g(x) = x³ + 2xFind (f - g)(4)3) h(x)=3x+3g(x)=-4x+1Find (h+ g)(10)4) g(a) = 3a+2f(a)=2a-4id (*) (3)Find5) g(x)=2x-5h(x)=4x+5Find g(3)-h(3)6) g(a) = 2a - 1h(a) = 3a-3Find (g h)(-4)7) g(t)=1²+3h(t)=41-3Find (g. h)(-1)8) g(n) = 3n+2f(n) = 2n² +5Find g(f(2))9) g(x) = x²-1-2xf(x)=x+5Find (g-f)(x)10) f(x)=3x-1g(x) = x²-Find-xd (A)(x)11) g(a)=-3a-3f(a)=a²+5Find (g- f)(a)12) h(t)=2t+1g(t)=2t+2Find (h-g)(t)-1-13) f(x)=2x³-5x²g(x)=2x-1Find (f. g)(x)14) h(n) = 4n+5g(n) = 3n+4Find (h-g)(n)
Answer (1)
Answer:To find the composition of two functions, denoted as or , you need to follow these steps:Understand Function Composition:Function composition involves applying one function to the results of another function. If you have two functions, and , the composition is written as .Substitute the Inner Function:Let's say you want to find . Start by replacing in with . This means is equivalent to with substituted for .Evaluate the Composition:Evaluate the composition by simplifying the resulting expression. This involves performing the operations specified by the functions in order.Example:Let's say we have two functions: and To find , substitute into :Therefore, the composition of with is .Notation:The composition of functions is represented as or .By following these steps and understanding the concept of function composition, you can find the composition of two functions efficiently.Step-by-step explanation:
