For f(x) = x and g(x) =x +7, find the following composite functions and state the domain of each. %3! (c) fof (b) gof (d) gog (a) fog

Q: Given the functions f(x) = 2x* and g(x) = 3 · 3ª, which of the following statements is true?

A: Given,        The functions are fx=2x4 and gx=3·3x.

Q: 2x273, if XEl f(x={x² +3, if XEl X2+1,if メフ f(t°+つ)=D3

A:

Q: For fx) = x+6, find each of the following a. (-1) e. (for xs97) (5) a. f-1)-5 b.r (5)-0

A: Given query is to find the indicated valen do the function.

Q: x-3 d) f (x) = Vx-4

A:

Q: 3. For f(x) = x ² - 5, find f(x + h).

A: We have to find fx+h for the given function: fx=x2-5 In this case we just have to replace the value…

Q: Do I just multiply the G times the F then multiply by 3? I'm confused

A:

Q: Find an expression for h'(x).  h(x) = 2 f (2x + 1)

A: Given equation - hx = 2f2x+1    .........(1)

Q: Find and simplify the difference quotient X +n) = 7x) for the following function. h f(x) 5

A: Given,           f( x ) = 5x

Q: For the function below, find x if f ()= 7 f (x) 3 5x-8

A: Given function : fx=5x-8                                 1 To find : The value of x at fx=7…

Q: For f(x) = 7x and g(x)=x+4, find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(2); d.…

A:

Q: If f(x) = x2 + 3x – 5 and g(x) = 3x – 7, find the following function. fog

A: f(x) = x2 +3x -5  g(x) = 3x -7

Q: If g(x)= 2x+5 calculate determine the value of x if g(x) =21

A:

Q: For f(x) = 8x and g(x) =x+2, find the following functions. a. (fo g)(x); b. (go )(x); c. (fo g)(3);…

A: Given functions, fx=8x   and    gx=x+2

Q: If f(x) = 15(2x ), find f(2.3) (to the nearest hundredth)

A:

Q: Given f(x) = 7x – 6 and g(x) = 8 + x, find the following:

A:

Q: For f(x) = 4x and g(x) = x°, find the following.

A: Given f(x)=4x and g(x)=x6

Q: For f(x) = 8x and g(x) = x^10, find the following  a)   (f +g)(x) b)   (f - g)(x) c)   (f x g)(x)…

A: soln:Givenfx=8x &…

Q: Is y=1/4 x05 a power function? And why

A: We have to check

Q: Find the equative of the fll wing functions f(X) =(X+4sinx) (l=7cosx)

A: We have to find the equative of the function  f(x) = (x + 4sinx) (1 - 7cosx) So ,

Q: Describe the long run behavior of f(x) = 2(x + 2) (x + 3) (x + 5): As x → 00, f(x) → ? v As x → 0,…

A:

Q: Given f(x) = 2x -1 and g(x) = x² +3, find the following. Write your final answer without…

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: If f (x)=x^5, what is f^(6) (x)?

A: The given function f(x) = x5.

Q: Find f'(-3) for the following. f(x) = x3

A:

Q: For f(x)=2x-4 and g(x)=x2-3, How would you find the following functions?  a. (fog)(x) b. (gof)(x) c.…

A: a) Find (fog)(x),

Q: Find f(2) if f (x) = e"

A: given equation f(x)=ex

Q: For f(x) = 3-x and g(x) = 3x+ x+4, find the following functions. a. (fo g)(x); b. (go f)(x); c. (f o…

A:

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: For f(x) = 4x and g(x) = x+3, find the following functions. a. (fo g)(x); b. (g o f)(x); c. (f o…

A:

Q: For f(x) = 2x and g(x) = x8, find the following. (a) (f+g)(x) (b) (f-g)(x) (c) (f-g)(x) (d) (f/g)(x)…

A: Given: fx=2x and gx=x8 To find : (a) f+gx (b) f-gx (c) f·gx (d) fgx Composite function is the…

Q: Evaluate (f · g) (x) , where х— 061 1 f (x) x+3 g (x) x-2

A: Function value at a point is obtained by substituting the point in the function definition. Product…

Q: For f(x) = 8x and g(x) = x^4, find the following a) (f+g)(x) b) (f-g)(x) c) (f x g)(x) d)…

A: We have to find

Q: If f(x)=4x−8 and g(x)=x^2−5g , what is (f+g)(x) ?

A:

Q: If f ( x ) = 4 x 2 − 5 and g ( x ) = 9 − 1 2 x 2, what is the value of ( f ∘ g ) ( 2 ) ?

A: f(x)=4x2-5 g(x)=9-12x2 we have to find the value of fog(2).   as we know that fogx=fg(x)

Q: Find f'(1) for the following. f(x) – 2x²

A: f(x)=-2x2Derivative Formula:ddxxn=nxn-1

Q: For f(x)=3-x and g(x) = 3x +x+4, find the following functions (fog)(x); b. (gof)(x); c. (fog)(3); d.…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: S 2x -6 for f (x) = 6. for x = 4 Find f(-1)

A: given f(x) = 2x-6  forx≠46          forx=4

Q: Given f(x) + x°(f(x))' : - 8 and f(1) = 2, answer the following: %3| f'(1) =

A:

Q: If f(x)=1+x /x, for which value of x does f(x)=5?

A: Given function f(x)=x+1x

Q: For functions f (x) = x² – 5x – 24 and g (x) = x + 3, ) (=) b. (-3). find a.

A:

Q: se the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). 8. f(x) = 1+ - (x) =

A: Topic:- derivatives

Q: Find f '(x) for f(x) = x15

A:

Q: Find f[g(x)] and g[f(x)] in the following. -4 f(X) =x+7; g(X) = g(x)]= g[f(x)] = |

A: topic - functions

Q: Find f(x) for the following. f(x) = — тх + b.

A: Differentiate wrt x

Q: If f (x) = xe¯¤ , what is f(1000) (0)?

A:

Q: Find f'(x) and f"(x) for f(x)=(5x+7)“ 6.

A:

Q: For f(x) = 4x and g(x) = x°, find the following. (a) (f + g)(x) (b) (f – g)(x) | (c) (x)(6 · 4)

A:

Q: For f(x)=-5x+3 and g(x)= square root x-5 Calculate (f/g)(6)

A: We find f(6) and g(6) by plugging x=6 in the given functions.

Q: For f(x) 2x-3 and g(x) 4x2-5, find the following functions. . (f o g)(x); b. (gof(x); c. (f o g)(2);…

A: Given,

Q: Use the following equation : f(x)=3x-2 and (x)=x2-1. Evaluate: f(g(1)

A: fx=3x-2  &  gx=x2-1

Q: For f(x)=1-x and g(x)=2x2+x+3, how would you find the following functions?  a. (fog)(x) b. (gof)(x)…

A: Given functions are