2. For the given functions f and g, each of the following: (f + g)(x), (f – g)(x), (f · g)(x), and ()(x), (f + g)(5), (f - g)(3), (f · g)(2), and ()(1). f(x) = 2x + 5 9x - 1 %3D g(x) = 3x + 4 %3D 2x + 5

Q: Given f(x) = x² + 3x + 9, find the following. HINT %3D (a) f(0) (b) f(1) (c) f(-1) (d) f(-3) (e)…

A:

Q: Given that f(x) = x² 5x and g(x) = x – 4, calculate %3D - (a) fo g(- 4)= (b) g o f( – 4)= > Next…

A:

Q: Given two functions f(x) = x² – 3x and g(x) : - = x + 13, find the following. a) f( – 2) + g( – 2)…

A:

Q: If f(x) = x3 + 1, then give the following

A: Consider the function: fx=x3+1

Q: If f is one-to-one and f(6)=9, then f−1(9)=  and (f(6))−1 =

A:

Q: a. Find h(k(- 2)) b. Find h(k(x)) c. Find k(h(- 2)) d. Find k(h(x)) 3. Consider the functions, m(x)…

A: In this question we will use basic of calculus i.e concept of composite function. We will simply…

Q: For the given functions f(x) (1) (fog)(x) = (2) (gof)(x) = (3) (ƒ ○ f)(x) = (4) (gog)(x) = = 8x + 5,…

A: Let's find all given function.

Q: Let f(x) = 5x +1 and g(x) = X-1 Simplify the expressions f g g(f(4)), and g(f(x)). ...... g(f(4)) =…

A: The objective of the question is simplify the composition function at given point.

Q: Let f(x) = 6x – 10. Find each of the following: %3D f(a) = %3D 2f(a) = %3D f(2a) = f(a + 2) = %3D…

A: We have to find function value

Q: If H=fog and H(x) = /25 – 4x? , which of the following cannot be the component functions f and g?…

A:

Q: Find f.g.h. f(x) 3D —, д(х) %3D х3, h(x) %3D х +4

A:

Q: b. Given f(x) = 3x + 2, g(x) = 2x² – 4x and h(x) = x-x+ 7, find (g + h) (-1/2). %3! %3D

A: Given: f(x)=3x-2, g(x) = 2x2 -4x and h(x) = x2 -x+7 To find: g+hf-12 This can be defined as follows:

Q: c² – 3x and Given two functions f(x) = x g(x) = x + 13, find the following. a) f(– 2) + g(– 2) b)…

A: Use  function value. To evaluate it.

Q: Let f(x) = 7- Va +1 and g(x) = x - 6. Then (f o g)(2) %3D (f o g)(x) =

A: Given: fx=7-x2+1gx=x-6