For f(x) = x and g(x) = 2x + 9, find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog

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

A:

Q: For the function f(x)=3x^2+3x-3, evaluate and fully simplify each of the following.

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 pair of functions f(x) and g(x), find f(g(x)), g(f(x)), and f(f(x)). f(x) = x³ g(x) = 4x - 1…

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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 function f(x) = 3* find *+1) f(x-2)

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Q: For the function f(x)=5x^2, evaluate f(x+h)

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

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 the function f (x) = x - 3/ 4 -2x2 evaluate and simplify the following: f(2a-b)

A: Follow the procedure given below.

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

A:

Q: For the functions f(x)=x+2,  g(x)=2x2-3x-2, find (g o f)(x)

A: Consider the given functions.

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

A: Explanation of the answer is as follows

Q: Find the domain for (f- g)(x) when f(x) = v9x +7 and g(x) 10 8x

A: The domain of a function f(x) is the set of all possible values of x for which f(x)  is defined.

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

A:

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

A: Given f(x)=4x and g(x)=x6

Q: For the function ​f(x)=x2−9​, find ​(​a) ​ f(x+​h), ​(​b) ​ f(x+​h)−​f(x), and ​(​c) f(x+h)−f(x)…

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

A: Given function: f(x)=x2

Q: If f(x) = 18z + 9, find f'( – 1).

A:

Q: For the function f(x) = x-3 / 4- 2 x.2 , evaluate and simplify the following: (i)  f(-1),

A: Given f(x) = x-34-2x2 Substitute -1 for x in the given function to obtain f(-1)

Q: Find f' (x) for ƒ (x) = 8x° – 3e".

A: Given : fx = 8xe - 3ex

Q: For the function f(x) = 3" find *+1) f(x-2)

A:

Q: For the functions f(x)=x-3 and g(x)=2x^2-x-3, find a. (f*g)(x)= b. (f*g)(-1)=

A: Given:

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

A:

Q: For the functions f(x)=−7x+3 and g(x)=3x2−4x−1, find (f⋅g)(x) and (f⋅g)(1).

A:

Q: Given the functions f (x) = 2x + 3 and g (x) = 3z2, find the following and state the domain. %3D %3D…

A:

Q: For the functions f(x)=−x2+2x−1 and g(x)=x−1, find (f/g)(x) and (f/g)(0).

A: Consider the following functions: fx=-x2+2x-1gx=x-1 Substitute x=x-1 in fx:…

Q: 5) For functions f (x) = x² – 15x + 45 and g(x) = x - 9, find |(x)

A: f(x)=x2-15x+45, g(x)=x-9, (fg)(x)=?f(x)=x2-15x+45  g(x)=x-9  Now fgx=f(x)g(x)             [Quotient]

Q: Given the functions f (x) = 3- x² and g (a) = 2x – 1, calculate (go f) (-2).

A:

Q: For the function f(x) = 3* find fx-2)

A: Given that: f(x)=3x.   NOTE: As per our answering guidelines, we can only answer 1 question or 3…

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

A:

Q: For the function f(x) = 5x³ – 3x°, |

A:

Q: Select the appropriate end behavior for the following function. f(x) = -4+ 3r - 5a2 + 2a %3D as x…

A:

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

A:

Q: For the function f(x) = 2, find f'(x). 5/x+2 4 1

A: Given:   f(x)=x+245   To find: f-1(x)

Q: What is the parent function for f(x)=(x+7)^2

A:

Q: For the given Function f(x)=4x+3 and g(x)=x-1, (fog)(3)= (gof)(-7)= (fof)(5)= (gog)(-2)

A: We have to find composite function

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)=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

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.