For f(x) = 8x + 4 and g(x) = 5x, find the following composite functions and state the domain of each. (c) fof (d) gog (a) fog (b) gof

Q: For the functions f(x)=2x−2 and g(x)=6x^2−3, find (g∘f)(x).

A: Explanation of the solution is given below...

Q: How do the functions el0x ande -10x behave as x o and as x S - 0?

A:

Q: For the functions f(x)=7x−2 and g(x)=3x2−7x−2, find (f⋅g)(x) and (f⋅g)(3)

A: given, f(x)=7x-2andg(x)=3x2-7x-2 we have to find the value of (f.g)(x) and (f.g)(3)

Q: For the function f (x) = | 2x + 5 |- 3. Find x- value(s) so that f (x) = 12.

A: Given that, f(x)=2x+5-3   .......  (1) f(x)=12.       .... (2)   We have to find value of 'x' when…

Q: For the functions f(x) = 2x - 4 and g(x) = 3x² + 2x, find (gof)(x).

A: The answer as follows:

Q: For the function f(x)=x2−8x+8, use f(x)=−4 to find two points on the graph of the function.

A:

Q: For the functions f(x)=6x2+16x−6 and g(x)=x+3, find (fg)(x) and (fg)(0).

A: Given functions:   fx=6x2+16x-6gx=x+3

Q: For the function f(x) = |8x – 6|+2, evaluate f(5).

A:

Q: For the function f(x)=8x2−18x+5, find x when f(x)=−4.

A:

Q: Find F-7(x) for f(x)= 13 +14x

A:

Q: For the functions f(x)=3x−4 and g(x)=6x^2+5, find (g∘f)(x).

A: Composite of two functions f(x) and g(x) is defined as:  (gof)(x) = g(f(x))

Q: For f(x)=x+6sqrtx, find (f^-1) (55)

A: Given data: The given function is f(x)=x+6(x)1/2. The given expression can be written as,…

Q: For the functions f(x)=3x2−3 and g(x)=2x3+2, find (f∘g)(0) and (g∘f)(0).

A:

Q: Find f^-1(x) for f(x)=13+14x

A: Explanation of the answer is as follows

Q: For the functions f(x)=−9x−4 and g(x)=−3x+5, find (f⋅g)(x) and (f⋅g)(0)

A:

Q: For the functions f(x)=6x−4 and g(x)=2x^2+5, find (g∘f)(x).

A: Given functions are: fx=6x-4gx=2x2+5

Q: V, find f(x). 9 For the function f(x) =

A: Given f(x)=9x54 and i.e. y=9x54Now we swap x and y to find the inversex=9y54 and here solve for y

Q: For the function f(x) = 4x3, find f'(2). %3D

A: f(x)=4x13=yFor inverse, interchange x and y and solve for y

Q: Graph the function f (x) = |r + 2| –- 3 When the domain is -4<I56

A: We have to graph the function f(x)=x+2-3 when the domain is -4≤x≤6.

Q: For the function f(x)= 3x^4+12x^3+13, where is f(x) increasing?

A: Solved below

Q: For the functions f(x)=x2−6x−16 and g(x)=x+2, find (f/g)(x) and (f/g)(−3).

A: Given data:   The first function given is f(x)=x2-6x-16. The second function given is g(x)=x+2.…

Q: For the function f)=5. find fx)

A: substitute the given function as equal to y and find value of x in terms of y

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

A: On solving this we will get

Q: Simplify the difference quotient ƒ1x + h2- ƒ1x2 / h for the follwing function. ƒ1x2= x2

A: Given function: f(x)=x2

Q: For the functions f(x)=4x+5 and g(x)=6x+4, find (f∘g)(0) and (g∘f)(0)

A: f(x) = 4x+5 i.e. when x is input then f(x) 4 times x plus 5. g(x) = 6x+4 i.e. when x is input then…

Q: If f(x) = 18z + 9, find f'( – 1).

A:

Q: For the function f(x)=8x2−18x+5, use f(x)=−4

A:

Q: For f(x) = 7x-1 + 5, find f -1 (x).

A:

Q: For the function ​f(x)=5x3−9x2+7x+9​, find f′′​(x). Then find f′′​(0​) and f′′​(9​)

A: We have to apply simple differentiation rules to solve the problem If we have f(x) = xⁿ f'(x) = xⁿ-1

Q: For the function f (x)=3x+2, find x such that f(x) =14.

A: Simply put given value of f(x) and solve for "x".

Q: For the function f(x)= -5x+10, find the difference quotient, f(x+h)-f(x)/h

A: given function, f(x)=-5x+10we have to find the difference quotient

Q: for the function f(x)=x2-2x-8, find the two points x when f(x) = 7 the answer should be in this…

A:

Q: For the function f(x) = -4x find ƒ–1(x). 2x-3'

A:

Q: For the function f(x) = −4x^2 + 3x − 1, find the following and simplify: f(-2)

A:

Q: For the function f(x)=|4-3x| find x values so that f(x) =12

A: Explanation of the solution is given below...

Q: For the function z) =-3x+8 determine x when Ax) =-25,

A:

Q: For the function f(x) = 7x", find ƒ-'(x).

A: Given,         The function is fx=7x7 .

Q: -3x-11 for f (x) = 2 for x>5 Find f(-1)

A: The given function is  f(x) = -3x-11if x≤-52if x&gt;5

Q: For the following exercises, find - for each function. 228. y = (3x² + 3x – 1)*

A: Differentiation with respect to x,

Q: Graph the function. - 2x+1 for x<-1 f (x) = 2x +1 for x2-1

A:

Q: For the function f(x) = 7x° - 2x2 + 5x+6, find f"(x). Then find f'"(0) and f"(3). f"(x) =

A:

Q: For the functions f(x) = 3x – 1 and g(x) = 6x² + x, find (f • g)(x).

A: Given : fx = 3x-1gx = 6x2+x

Q: Given f (x) 3 and x²-1 g(x) 2x+7, find the following. ニ Of•9)(-3) )(fof)(-9)

A:

Q: For the functions f(x)=2x−3 and g(x)=5x+5, find (f∘g)(x)

A:

Q: For the function f(x) = 7x-11x+ 11x+2, find f'"(x). Then find f"(0) and f"(5). f"(x) =

A:

Q: Find f(6) given f(x)=7x-5

A:

Q: For the functions f(x)=2x+1 and g(x)=3x2+4, find (f∘g)(−2) and (g∘f)(−2).

A:

Q: For the functions f(x)=−5x3−4x2+8x and g(x)=−4x2+8, find (f−g)(x) and (f−g)(−2)

A: Given, fx=-5x3-4x2+8xgx=-4x2+8

Q: Find the domain for (f – g)(x) when f(x) = /7x + 9 and g(x) = /10 – 8x. %3D

A: Domain is the all values of x where the function is defined .

Q: For f(x) : Vx+5 and g(x) = x + 8, the domain of х-9 |x is?

A: We can find the answer as below.