Let f(x) and g(x) be defined by f(x) = 3x − 2; g(x) = { 5x + 3 x < 2   ;    x2 − 2x + 2 x ≥ 2 }  (a) Evaluate (f + g)(−2),  (f − g)(−1),   (fg)(2)  and  (f /g)(3).   (b) Find all x for which f(x) = g(x). You must give the exact answer and show all working.

Q: Let f(x)=9x+8‾‾‾‾‾‾√f(x)=9x+8 and g(x)=x+9g(x)=x+9 be functions from ℝR to ℝR. Find the following.…

A: We will find out the required values.

Q: Let f(x) = x² - 3 and g(x) = x³ - 2. 6g²(-1) +9(1) – f°(2). |3f(g(3)) + 11' |- 29(S(2)) 6g°(-1) +…

A: Given:     f(x) = x2-3    g(x) = x3-2

Q: Find f(x) and g(x) such that h(x) = (f o g)(x) and g(x) = 4 - 8x. h(x) = (4 – 8x)³ – 7(4 – 8x)² +…

A:

Q: Find a function f(x) so that h(x) = (gof)(x) given that -2x³ – 6x² 6x² + 5x+1 and g(x): = h(x) =…

A: (g∘f)(x) = g(f(x))

Q: Let f(x) = x2 + 2 and g(x) = 2x - 3. Evaluate (fo g)(x). (fo g)(x) =| (Simplify your answer.)

A: (fog)(x)= f(g(x)) f(x) = x^2 + 2  g(x) = 2x - 3

Q: For the given functions, find (f o g)(x). f(x) = 5x + 1, g(x) = Vx (fo g)(x) =

A:

Q: Let f(x) = 1 - (x + 3) + 2x. Find all values of x for which f(x) is at least 4.

A: Given that, fx=1-x+3+2x Need to evaluate the values of x for which f(x) at least 4 that is fx≥4

Q: Let f(x)=x +3 and g(x)=-2x+6. Find each of the following. (a) (f+g)(2) (b) (S - 8)X2) (c) (fg)(2)…

A: we have to find the following

Q: Find   g−1 ∘ f −1

A:

Q: Let f(x) = 5x - 4 and g(x) = x? – 5x + 6. Then %3D %3D (f o g)(x) = %3D (go f)(x) = %3D

A: givenf(x)=5x-4and g(x)=x2-5x+6fog(x)=f{g(x)}=f(x2-5x+6)=5(x2-5x+6)-4=5x2-25x+26       answer

Q: nd f(x) and g(x) suc 4 %3D

A:

Q: Let f(x) = 9 + x + x² and h = 0. (a) Does f(9 - 1) = f(9) + f(1)? Yes O No (b) Find f(x + h). (c)…

A: The given function is; f(x)=9+x+x2

Q: Use f(x) = 2x - 8 and g(x) = 4-x´ to evaluate fAg(-1)). %3D Find f (g (x)) for f (x) = 7x + 7 and…

A:

Q: If  f(x) = (1 − x)2 and g(x) = 6 − x,  find f(g(x)) and g(f(x)). f(g(x))  =        g(f(x))  =

A:

Q: Let f(x) = 6x – 4x² – 7x³ and g(x) = 9x² – 5x . Find (f + g)(x) and (f – g)(x). Then evaluate f +g…

A: Question- Let f(x) = 6x - 4x ^ 2 - 7x ^ 3 and  g(x) = 9x ^ 2 - 5x  Find (f+g)(x) and (f-g)(x). Then…

Q: Let f(x) = x - 6 and g(x) = 7x. Find (f+ g)(1). (f+ g)(1)= (Simplify your answer. Type an integer or…

A: As per the question we can solve it as per the rules of function

Q: Let f(x) = x² + x and g(x) = x – 5. Find each of the following: a. (f + g)(4) b. (f – g)(x) and (f –…

A: given f(x)=x2+x and g(x)=x-5 we need to find the

Q: f f(x) =    x − 5  − 4x, find f(5), f(9), and f(14)

A: Givenf(x)=x-5-4x

Q: let f(x)= 5/x +-8/4x+1. Determine the values of x for which f(x) = -2

A: Given that f(x)=-2  We plug this and find x

Q: Find f(x) and g(x) such that h(x) = (f o g)(x) and g(x) = 6 – 2x. h(x) = (6 – 2x)3 - 6(6 – 2x)² +…

A: We have given function as  h(x)=(6-2x)3-6(6-2x)2+5(6-2x)-1 h(x)=(f∘g)(x)   g(x)=6-2x   We have to…