Find E(g(X)) where g(x) = x² + x + 1. %3D

Q: |X\, g 6 リx| = (x)

A:

Q: Analyze the graph of f (x) = ln(x2 + 2x + 3).

A: The given function is f(x)=lnx2+2x+3

Q: Find g(x) if g'(x) = (60x² 80x) g(x) = 4x 4 - 8x and g(0) = 3.

A: Giveng'(x)=(60x2-80x).44x3-8x2  and g(0)=3

Q: Let f(x) = x and g(x) = 6x – 15. %3D Find the following: (a) f(3) + g(3) = i %3D (b) f(3) g(3) = i…

A: topic - functions

Q: Find f(x) • g(x)= (fg)(x). Simplify. F(x)=x^2+8 G(x)=x^2-x+3 (Fg)(x)=

A:

Q: Suppose g(x) = 3x- 2 and h(x) = f[g(x)] = 15x - 11. Find y = f(x).. %3D %3D %3D %3D Explain and show…

A: Given that                     g(x)=3x-2  and  h(x)=f[g(x)]=15x-11

Q: If f(x) = Vx+1 %3D 1 g(x) =- X+4 1 h(x) = - X Then find (fogoh)(x)

A:

Q: Give f (x) = = and g (x) = 2/, find %3D (a) f · g [ Select] answer and its domain answer [Select ]…

A:

Q: Decompose the function y=(4-2x3)4 in the form y=f(u) and u=g(x)   use g(x) = 4-2x3

A: Given function      y=4-2x34  then  we have  to decompose  the given  function  in the form  y=fu…

Q: Let f(x) = 4x – 5 and g(x) = 3x² – 4x + 4. %3D %3D (a) Find f(g(4)). (b) Find g(f(4)).

A:

Q: If f(x) dx = 3x8 - 5x + C, find f(x). f(x) = %3D

A: The given integral is ∫fxdx=3x8-5x4+C

Q: Let f(x)=x³ and g(x)=Jx, and h(x)=–. Find each of the following: 3 g(h(f(x))) g(h(f(x))) =

A:

Q: f (x) = (x³ – 5x + 2)(x² + x – 7); find f'(x) %3D

A:

Q: Determine G(s)   g(x)=x-5/2cosh3x

A:

Q: X If f(x) = /x, g(x) = 3 and h(x) = 3x + 9, find f(g(h(x))). |

A: Given the functionsf(x)=x,g(x)=x3 and h(x)=3x+9

Q: Find f(9(x)) when f(x) = 2x +1 and g(r) = 2? +

A: On solving this we will get

Q: If y = g(u) = u2 / (1-2u) and u = h(x) = x +5, determine the composite functions  (a). g(h(x))…

A:

Q: Given f(x) = x- 7 and g(x) = x2. Find g(f(4)). g((4) =| DONE

A:

Q: F(x)=2x-1.      G(x)=3x-4. Find (f/g) (x)

A:

Q: Consider the functions: Ax) = x+ 2 %3D g(x) = 3x What is the value of (f g)(2) ?

A:

Q: suppose f(x)=1/x and f(g(2))=-1/3. find two possible equations for g(x). show how you know

A: Given that  and .The aim is to find the two possible equations for .

Q: Find 3[g(4)] if g(x) = -2x + 10 %3D

A: Given: gx=-2x+10 To find: 3g4

Q: [cx)= (x+1) 「cx)-(x_)[cxー1) (xー1)「cx-1) [(-x)= [(1-x) |

A: Γ(x)=∫0∞tx-1e-tdt  for x>0Γ(x+1)=∫0∞txe-tdt =-txe-t0∞+x∫0∞tx-1e-tdt=xΓ(x)⇒Γ(x)=Γ(x+1)x Now,…

Q: If f(x) = x + 6 and g(x) = -6, %3D (a) f(g(x)) = (b) g(f(x)) = (c) Thus, g and f are functions.

A:

Q: If fx) = 2x- land g) = x, Find *f

A: