Match the graph to one of the listed functions. 2 -2 -2+ O f(x) = x2 + 2x + 2 %3D Of(x) = x-- 2x + 2 f(x) = x- + 2x+ 1 Ofx)-x2-2x + 1 2)

Q: B. Find the domain of 1. h(x) = V(x - 2) (x 2 -2 x + 1) 2. (x – 1)(x + 3) 1. 3. If f(x) = -1 and…

A: h(x) = (x-2)x-2 ≥ 0 because square root of -ve number is not defined or a imaginary number.x-2 ≥ 0 x…

Q: The population of a city is expected to be P(x) = x(x2 + 36)−1/2 million people after x years. Find…

A: Given,         The population of a city is expected to be Px=xx2+36-12 million people after x years.…

Q: 3. Verify that the following functions are solution of one of the equations in part 1 and match the…

A:

Q: Increasing and decreasing functions Find the intervals onwhich f is increasing and decreasing.…

A: Given: fx=4-x2, fx=x2-16, fx=x-12 We know that any given functionfx is increasing in a interval if…

Q: x-2 Given f(x)= 3x-8, g(x)= 5x', h(x)=- find: 3 %3D 3. g (x)-f(x) 4. f(g(x)) 5. h(g(S(2)))

A: (3) g(x)-f(x)=5x2-(3x-8)g(x)-f(x)=5x2-38x+8 (4) f(g(x))=f5x2f(g(x))=3(5x2)-8f(g(x))=15x2-8

Q: f(x) = 3x + 5 g(x) = 4x² – 2 %3D h(x) = x² – 3x + 1 Find f(x) - g(x) – h(x). O - 5x + 6x + 6 O -5x +…

A:

Q: Where does the graph of the function h (x) = x* + 3z² – 4 cross the x-axis? %3D O x= -1 and x = 1 O…

A:

Q: 1-6 for part A F(x)= 4•2^-x +1

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

Q: 3. f(x)=x-4x Vertex x-intercept(s)

A:

Q: 5. The x-intercepts of the function f(x) = 2x² – 4x – 6 are %3D (1) (3) 3 and 1 -3 and 1 (2) (4) 3…

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: The graph shown below is f(x) = 3x - 2. If g(x) = f(t) dt, what is g'(-1)? f 5 4 3 O 5 O 3 0 1 O -5…

A:

Q: 8 Where does the graph of the function hx) = x*+3x-4 cross the x-axis? A. x= - 2 and x 2 B. x= - 2,…

A:

Q: x = g1(x) =x –x' – 4x² + 10 10 (b) x = g2(x) = – 4x 1/2 10 x = g3(x) =(10 – (d) x = g4(x) = 4+x, * +…

A: Let a given function: fx=x3+4x2-10 defined for all x∈1,2. Put fx=0, then x3+4x2-10=0. Solving we…

Q: The population of a city is expected to be P(x) = x(x2 + 16)-1/2 million people after x years. Find…

A:

Q: The graph shown below is f(x) = 3x - 2. X If g(x) = f(t) dt, what is g'(-1)? f*

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: The graph shown below is f(x) = 3x - 2. X If g(x) = f(t) dt, what is g'(-1)? 5- X O 5 3 0 1 4321 -5…

A: This is a problem related to integral. Based on the given data and graph we will answer the…

Q: 1.) f(x) = x² + 2x g(x) = 2x - 3 Find (g - N(x) 2.) f(x) = 2x' + 4x + 2x + 1 9(x) = x' - x + 7x + 9…

A: Explanation of the answer is as follows

Q: (a): Find the value of k that makes function continuous at x = 4 f (x) = 7x S2x + 7 x > 4 k x < 4…

A: We will use the definition of continuity at a point to find the value of k

Q: Can you check it please?

A: To verify thesteps in the  simplification

Q: 1. Find the domain of the function 1- e*? 1- el-x f(x) =

A:

Q: F(x)= X^3-18X^2+81X Maximas occur at x=

A: Assume x=c is the critical point of f(x). If f'(x)&gt;0 to the left of x=c and f'(x)&lt;0 to the…

Q: me the graph to find a d>0 such that for all x, 0</x-xo<d-Iftx)- L<e. <E. 1) y= 2x2 f(x) = 2x2 xo =…

A: Given,for all x,    0&lt;x-x0&lt;δ, f(x)-L&lt;ε.…

Q: 1. f(x)=-2x²+x-1 a) f(0) =-| %3D b) f(-1)=- c) f(-x)=-X- %3D d) - f(x) = | e) f(x+1)=-3 ) f(2x)= -…

A: 1.    fx=-2x2+x-1   a) On putting x=0                         f0=-202+0-1      =-1  b) On putting…

Q: = x3 – 1 if x= 0 = 2x if x>0 4. Find f (x+ h) if f(x) = x2 + 2x – 1 5. If f (x) = 3x2 and g(x) = x -…

A: Question 4.  Given - f(x) = x2 + 2x - 1

Q: f"(x) = 20x3 + 12x2 + 4 with the initial conditions f(0) particular f(x). = 8 and f(1) = 5. Det

A:

Q: 3) g(x) = x + 2 f(x) = x³ + 4x Find (g · f)(x) А) бх* - бх3 + бх? - бх 2x + 4x2 – 8x 4) f(x) = x² –…

A:

Q: 2. f(x)=x²-6x X -6x Vertex x-intercept(s)

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Q: f(x-1) e-2x+x² dx = O 1 -2x+x² e 2 2e-2+2x+C 2e-²x+x² + C e-2x+x² + C + C

A:

Q: The critical points of the function f(x)= 4x³ – 48x +1 a O a. [1 -1) Ob. (2.– 2} c. 12'2 o d. 4,– 4}

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Q: 3x and g(x) = x + 1 If f(x) = then x + 3 4x (ƒ o g)(x) is -

A: Here, we have been given that f(x)=3x x+3and g(x)=x+14xOur Aim is to calculate (fog)(x)=?

Q: Iff(x) = 1 %3D Зх-1 and g(x) = f-' (x), find g' (x). 1 o g'(x) = -, 3x2 o g(x) %3D뉴 1 2r2 1 o g'(x)…

A: Given f(x)=y=13x-1f-1(x):Replace x with y and solve for yx=13y-13y-1=1x3y=1x+1y=x+13x

Q: + x) at a = -2

A: The Taylor series of a function fx at a point x=a is defined as f(x)=∑k=0∞f(k)(a)k!(x−a)k where fna…

Q: Suppose f(x) = 5x- 4 and g(x) = -2x + 3 b) solve f(x) > 0 c) solve f(x) = g(x) d) solve f(x) <=…

A:

Q: b) Find all points of local maxima and local minima of the function f(x) = x' – 3x + 3.

A: We use application of derivatives to solve this problem.

Q: The population of a city is expected to be P(x) = x(x2 + 64)−1/2 million people after x years. Find…

A: We will use the average of a function formula

Q: Find h'(-3) if h(x)=4g(x)-5f(x), f(-3)-7,and g'(-3)=-2. Oh'(-3)-0

A:

Q: The graph shown below is f(x) = 2x 2 - 1. If g(x) = Sốf(t)dt , find g '(3). %3D 4 2 X 54 3 -2 - V1 2…

A: g(x)=∫0xf(t)dtThenBy fundamental theorem of integral calculusg'(x)=ddx∫0xf(t)dt=f(x)g'(x)=2x2-1

Q: Find those values of x for which the given function is increasing and those values of x for which it…

A: For function to be increasing or decreasing consider f'(x)

Q: Find the domain of the function. g(x) = ln ( 1/x - 5)

A: given,

Q: The graph shown below is f(x) = 2x 2 - 1. If g(x) = f(t)dt, find g'(3). X 543-2-1 1 2 3 4 5 -2 54 &…

A:

Q: h(x)=-x+3 g(x)=-x 2 +3x Find h(-3) + g(-3)

A:

Q: (-3 0 -2x + 4 f(x) = -1 if %3D -2 x

A:

Q: 3) Find domain of the following functions X-2 a) f (x) = : x2-4x-12 Solution: b) f (x) = x² – 7x + 3…

A: Solution of question as follow

Q: x +x-6 F(x)%3D at x= - x+3

A:

Q: (a): Find the value of k that makes function continuous at x = 4 %3D S 2x + 8 x > 4 x < 4 f(x) = 5x…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The graphs of f(x) = x³ + x² - 6x and g(x) = ex-3-1 have which of the following features in common?…

A:

Q: 1. g(x) = 2 + x – x² , find f'(-3) H 2. f(x) = 4x, find g(2x) 3. g(x) = x° – 14, find g(3) 4. g(x) =…

A:

Q: If g(-1) = 2 and g'(-1) = 3 find h'(-1) for h(x) = [g(x)]° %3D %3D

A: g(-1)=2g'(-1)=3 We need to find value of :   h'(-1)  given that h(x)=[g(x)]5