1. If f(x) = x + 1 and g(x) = 3x, find the following. a. f(4) d. g(2) %3D b. (g o f)(4) e. (f° g)(2) c. (g • )(x) f. (f• g)(x)

Q: cos4t-cos2t 12. F(t) = %3D t

A: Given that F(t)=cos 4t-cos 2tt The formula for cos 2t is cos 2t=2cos2t-1 Now, cos 4t=cos 22t…

Q: By definition, (f ° g)(x) = f(5) = 12, then (f°g)(2) * So if g(2) = 5 and %3D %3D %3D

A: By definition, f∘gx=fgx

Q: For what value of x is g(x) = - 2? ..... x=0 4- 4

A: Here, we need to find the value of x which makes g(x)=-2

Q: Find for the following functions: - dx 3x2-4x+4 1) y = %3| Z

A: dydx is called the derivative of function y.Derivatives of polynomials are :→dxndx =…

Q: Use the given information to find f′(2). g(2) = 3 and g′(2) = −2 h(2) = −1 and h′(2) = 4

A:

Q: b. The graph of f(x) is shown below. Find: f(x) dx -1. to 33 177

A:

Q: If f(x) = x – Vx – 2, find all values of x for which f(x) = 4. %3D

A: fx=x-x-2

Q: Assuming 0 < c < d, find the value of b (in terms of c and d ) for the function given

A: given: 0<c<d. the given integral is∫cdx+bdx=0 ∫cdx+bdx=0x22+bxcd=0d22+bd-c22+bc=0

Q: TT f(c)dc)+ =xtan"(x) 4

A:

Q: E (x+1) xp:

A: Given integral is, ∫x+112x52dx.   It is integrated as follows:   Apply u-substitution: u=x+112…

Q: For the given functions f(x) = 2x° and g(x) = - 2x +5, find (a) (fo g)(1), (b) (g o f)(- 1), (c) (f…

A: As per our guidelines only 3 sub parts can be solved,please find the answer for 3 sub-parts below :

Q: If mLAOB = 60°, then what is the length of the minor arc AB? A 60 60% 04/10 2 EN O2T 3m 2 0 0 0 HO…

A:

Q: 15 f(x)dx%3D 2 f(x)dx =5, then f(x)dx=? Hide answer choices A 25/2 B 5/2 C 19/2 9/2

A:

Q: If f(x) = 7x° - 7x + 2x -3 and g(x) = 0, find (f o g)(x) and (g o f)(x). What is (fo g)(x)? (fo…

A:

Q: If f (x) = 2x VxE [a, b]. Show that; b. S [(x)dx = b² – a²

A:

Q: If f(x) dx = 4x° – 7x° + C, find f(x). %3D f(x) = %3D

A: We are going  to find f(x)

Q: 2. Given f(x) = 3x – 2 and g(x) = =+, find each of the following: %3D (a) (f o g) (z) (b) (go f) (z)

A:

Q: Use the given information to find the value of the func 4. f'(x) = 3x2 - 1 and f(2) = -5. What is…

A: If you like the solution then please give it a thumbs up... The Answer is:        f(3) = 13

Q: If f(x)dz = -5. then the value of f f(z)dr = ... -5, then the value of f(x)dx O 5 3

A: We have to find the value

Q: Find the domain and range of the functions: 2) f(x) = /4 – Vx

A: f(x)=4-x

Q: d y Find dx? |(-1,2) if x² + y' = 9

A:

Q: 1. Let f(x) = 3x2 and g(x) = x – 2. a) Find (fo g)(x). b) Find (f o g)(1). c) Find (g of)(x). d)…

A:

Q: Find dy for the following functions: - dx 6 1) у - 2 y = * 1 1 Vz² 8x4 2x8

A: 1) y = xn     dydx = nxn-1 2) y = 1x      dydx =-1x2 3) y = z     (a) if z is constant…

Q: Find (x) and state the domain. Then evaluate fg for the given value of x. 3. f(x) =-x³^,g(x)…

A: composition of function

Q: Find (ho g)(x) for the indicated functions. h(x) = Vx+4, g(x) = x+3 (ho g)(x) =D

A: Given,          hx=x+4 , gx=5x+3

Q: 2. Given f(x) = 3x2 +4x and g(x) = 2x - 1, find (& simplify) the following: %3D (f-g)(x) = b.…

A:

Q: -7x Given -dr. Find f(t) = -dr

A:

Q: two parallel sides AB and CD of the trapezoid, ABCD are 7.3 and 5.5 units, what is the length of the…

A: The objective of this question is to find the length of the mid-segment of a trapezoid. The…