Let f(x) = x2 g(x) = 2x-3 h(x) = Vx +1 %3D %3D 5. (g o f)(1) = gCF(I) =g(1) (go F)CI) = 2C1)-3 (gof)C1) = 2-3 %3D (gof)Ci)= -1

Q: Find the second derivate of f(x) = 4 + 3e-* %3D A 3e* F 3e* C -3 -3e-* 9e-* H -9e-*

A: To find the second derivative of the following function f(x) = 4 + 3e-x

Q: Find the domain of f(x) = Vx + 3 + Vx - 1.

A: Given that the function f(x) = x+3 +x-1 To find the domain of f(x).

Q: 4 -2 f(x) = -5x* + 2 + 3x %3D differentiate each function with respect to x

A: Differentiate with respect to x.

Q: O Find f(-1) if f(0) = 2, f(1) = 9, f(2) = 28, f(3) = 65, f(4) = 126, f(5) = 217. %3D %3D %3D %3D

A: As per given data we can write f(0)= 13+1 = 2 f(1)= 23+1 = 9 f(2)= 33+1 = 28 f(3)= 43+1 = 65 f(4)=…

Q: # 8 If f(x) = 2x2 + 3 and g(x) = - 3x - 6, find f(x) g(x). %3D es 4) A) 6x3 - 12x2 - 9x + 18 B) 6x3…

A: solution:-.

Q: 2x²-3x+7 7. Let f(x) = _ Find f(3). 5x2-2x

A:

Q: Pls help ASAP

A:

Q: Find f′(9) if f(x)=7x2 +5x+5/ √x

A: To find f'(9) , initially we have to find f'(x) from the given f(x) then substitute x=9 in the…

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 the inflection point(s) (x,y) to the function f (x) = x²+x+1 %3D x2

A:

Q: 3. Let f(x) = x2 + x + 3, g(x) = 5x +3 а. f(4x) and h(x) = 2x² – 4x + 1. Find the following: b.…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: x5-3x-2-7x c) iii) f"(x) for f(x) = %3D

A:

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 ]…

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Q: :) is one-to-one and f(11)=-9, then f(-9) = (f(11))-l =

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: Find (f + g)(x) if f(x) = Va – 2 and g(x) = Va. O (f + 9)(x) = Vx – 2 + va O (f + 9)(x) = v20 – 2 •…

A: According to question given that f(x)=x-2, g(x)=x

Q: If f(x) = 5x - 2x³-x²+3x-1, then %3D | f(0) = %3D Cyマ/10) %3D %3D

A: According to power rule of differentiation .

Q: Find f(g()) and g(f(2)) for the pair of functions. f() =+1 g(2) 34x-17 flo(2)) = %3D 9(f(=)) = %3D

A: Given, f(x) = x + 1  g(x) = 4x - 17

Q: (1 point) Let f(z) = r² – 6x and g(x) = x-6. Evaluate the following: %3D %3D 1. (fo g)(z)= 2. (go…

A: Consider the functions f(x) = x2 - 6x and g(x) = x - 6 If f(x) and g(x) are the two functions then…

Q: EXAMPLE 2 If f(x) = Vx and g(x) = x + 1, find %3D (a) (f g)(x) (b) (g • f)(x) (c) (f f)(x) (d) (g°…

A: We use the definition of composition of functions and the definition of the domain of a function to…

Q: A = ( ). f(x) = 2x2 -x+1 %3D 3

A: Substitute the matrix A in the given function and simplify.

Q: If f(x) dx = (2x – 14)12 + C, find f(x). %3D f(x) %3D

A:

Q: f(x+1): = 71 Sx+3 ZX-7

A: Step 1: Step 2: Step 3: Step 4:

Q: Suppose F(4) = - 1, - 1, %3D

A:

Q: If P(A) = a and P(B) = b, then show that P(A/B) > (a + b - 1)/b.

A:

Q: 1.) Find the domain of g(x) = V7² +3 + 3x

A: Given data: The given function is g(x)=(x2+3x)1/4. The domain is the value of x or a complete set of…

Q: The profit function of a company is P(x) = x² – 400x + 40000, then the break-even poi is %3D

A: The break-even point point occurs when the total revenue is equal to the cost. At that point, the…

Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

A:

Q: Find f(0), if f(x)=3 – 5x + x2.

A: Given function is, fx=3-5x+x2. The objective is to find the f0. Function is described as the special…

Q: Let f(x) = 6x +9 %3D f "(x) = |_

A: To find the inverse of a function  First replace fx with y. Replace every x with a y and every y…

Q: VT-x- 5 | f(x) = 6.

A:

Q: EXAMPLE 2 If f(x) = Vx and g(x) = x + 1, find %3D (a) (f°g)(x) (b) (g• f)(x) (c) (f• f)(x) (d)…

A:

Q: Perform convolution of h(t) and x(t) = (r(t) +r(-t)){u(t + 2) - ust - 2)1 %3D

A: Graph of x(t) is:

Q: (b) f(x)=2x +7atx =0

A: Answer