x if x 2 5 d) f(x) 3x2-3 for: 1) f(-2) 2) f(x + 2) x2 if x < 0 e. f(x)=2 if x = 0 for: 1) f(-2) 2) f(2) 3) f(0) 2x 1 if x >0 2. What is the domain of the function? f(x) x24x+4 b. f(x) %3D V3х - 12 a. 5 d. f(x)= X+3 х c. f(x) -1 Xx e. f(x)= Vx-x-2 f. fx) 2x+1 3. Find x if f(x) = 0: 3x+ 4 1 b. f(x)= 2 f(x)=x-7 2 1 с. a. f(x) x2- 4x

Q: g(x)-=x^2+4x-6- 10- f(x)-= 2^x- -5- 15 -10 -5 -5- 10 g(x) = -10 when x = 3 g(-2) = -10 g(-5) - f(0)…

A: The function is the mathematical expression that tells the relationship between one variable and…

Q: 4. If [æf (x) + 2] dæ = x³ – a² then find the function f (x). 3 A) 2 3 B) 2+ C) 3- 2 E) 2– D) 3+ --…

A: The given equation is x∫x fx+2dx=x3-x2.

Q: 12. What is f( + 1) if f(x) = –4x +17a-3x 4? O 4 -4x 17a2-4x O 4a 5 19x 6 | -4x 21a2 - 3x 6 -4 +…

A:

Q: 3- 2+ -4 -3 -2 -1 -1 1/ 2 3 4 x -2- -3 . Figure 1: y = f(x) 4. 1.

A: Here is the solution of

Q: 3. The amount of money ($125 per day) paid to substitutes at LHS depends on how many teachers are…

A: a)  Number of substitutes  =  20*0.8 + 2  =  18     Hence,  Money paid by LHS for substitutes  =…

Q: What is (go f)(x) if f(x) = 3x – 1and g(x) = 4x? + 9? %3D %3D (go f)(x) = 24a2 – 25 O (go f)(x) =…

A: note: (g o f) means g(f(x)).

Q: 2 (1)If f(x)=x² +x, g(x) = x+3 ' then fog(1)= go f(1) =.

A: Solve the given function

Q: 1 if x -2 18. f(x) = x + 2 %3D a = -2 1 if x -2 x+3 if x -1 a = -1

A:

Q: What are the critical points for the function f(x) = x³ + 6x² – 36x + 7 X = - 2 and x = 6 x = 2 and…

A:

Q: -Lt-AL -- - .. 2x+2 f(x) = (2)2(x-3) + 2 h(x) = - - 2 Justify: Justify: g(x) = -(x+1) - 2 k(x) =…

A: 1(c)

Q: -3х - 4 х-1

A: Increasing interval : Interval in which graph goes upwards Decreasing interval: Interval in which…

Q: 19. f(x) : х — 2 x² - 4 20. f(x) = х — 2 (2r 15 if v-

A:

Q: The square root function r(x) can be defined as:        r(x) = ±√x where ± means "plus or minus",…

A: Given  r(x) = ±√x

Q: -Зx2-5х+2 -19x-24 38х-4 3. f(x) = (Hint: f'(x) = and f"(x): (x+4)3 (x+4)2 )Find x and y intercepts…

A: Given the function

Q: If f(2) = 15 and f (x) > 2 for 2 s x s 4, how small can f(4) possibly be?

A:

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given quadratic function R can be written in the form ax2+bx+c=0 This function has minimum value if…

Q: i) f(-4) =                      ii) h[f(-6)] =                  iii) f[g(-2)]  =

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 4 given that g(2) = 1 and g'(2) = – 5, what is F'(2)? If F(x) = %3D g(x)' %3D

A: Given, F(x)=4g(x), g(2)=1 and g'(2)=-5We need to find F'(2)

Q: If f'(x) > 3 for all x and f(2) = 5, what can you conclude about f(4)? %3D

A:

Q: x+6 if x 2

A: Given that: f(x)=32x+6x&lt;-24-x2-2≤x≤2-(x-2)2x&gt;2

Q: 1 7. f (x) = 3x² - x + 6 Opens up/down: Vertex: Axis of symmetry:

A: We can answers first three parts of the question as per the honor policy. Please resubmit other…

Q: f(x) = {x +1 %3D 10 2 - 10 -8 2 8 10 -4- 10 Domain: Range: O

A:

Q: 3 If f (2) = -5 and f'(2) = – find [f-1]'(-5). %3D 4

A: topic - derivative of inverse function

Q: A function f satisfy the condition f(x) − f(x−1) = 4x − 9 . If f(5) = 18, what is the value of f(3)…

A:

Q: 2x + 5; if x 3 Find the value of functionf at x = 3.

A: Topic = Function

Q: 17. If f(x - 1)+ 2/(1 — х) %3 3х, what is f(x)? А) -Зх + 1 В) х—3 С) -х +3 D) -3x – 1 |

A:

Q: 4) Show that and 4x 2 - 4x f(x) = 4x-2 4-4x are eventually fixed points for the function : 0<x<…

A: Given

Q: Discuss the continuity of the function on the closed interval.

A: Given, f(x)=x, x&lt;12,x=12x-1,x&gt;1

Q: • If x = xf(y)-1 then, 1. у 1-f(y) xf') 2. у - xf'G) 1-fo) 3. у 4. y 1-f(y) %3D

A:

Q: 3. Find the exact area of the piece of land in San Francisco, Surigao del Norte which is bounded by…

A: Topic:- application of integration

Q: -10 -9 -8 -7 -6 -5 -4 -3-2 2 345 6 89 10 Which equation could represent the piecewise function? -4,…

A: from the give graph for x&lt;0it gives a straight line with zero slopey=-4

Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…

A: Given query is to find the derivative of the expression.

Q: * 1.4 • If x xf(y)-1 then, %3D 1-f(y) xf') G)-1 1. у - 2. y 3. у 1-f) 1-/y) 4. у %3D

A: The correct option is, option (1)  The detailed solution is as follows below:

Q: - Ix - 0l (i) f(x, θ) = - 2 (-∞<x<∞) 1 f (x, 6) = 5 -(x-6), 0 <x < 8, -8mθ<o. (ii)

A:

Q: What are the critical points for the function f(x) = x³ + 9x² + 15x – 8 %3D None x = -1 and x = -5 x…

A:

Q: 4. If the function f is defined by f(x) = 5x + 3, then 2f(x) + 1 = %3D %3D 7x+4 В 7x+7 10x+4 D 10x+6…

A: If the function f is defined by f(x)=5x+3, then 2f(x)+1=

Q: 1 For what value of x does the function f(x) = =x³ – 4x attain the absolute maximum - in the…

A: here option (c) is true on doing differentiation we get the  f'(x)=3x^2/3-4 f'(x) =x^2-4 put f'(x)…

Q: What is the relative maximum value of the functionf (x) = x³ – 6x? + 9x – 12? f(x) has a relative…

A:

Q: -8 f(1) – 4 g(4) =[ %3D 8- 6+ y= f(x) 2+ -8 -6-4 6. -4+ y=g(x) -6+ -8- ఈ

A: Given, The graph of the functions  y=fx   and  y=gx We have to find the value of expression…

Q: In Problems 21–32, use Descartes’ Rule of Signs to determine how many positive and how many negative…

A: Use Descartes’ Rule of Signs to determine how many positive and how many negative zeros each…

Q: 1-4, xs1 7) f(x) = %3D ++2, x> 1 -8 +一七

A: In this question we have to graph the function.

Q: 5- 5x? (x² +1)² -2x? –8 10х - 30х (x² +1)' 4x(x² +4) (x² – 4)' 5x a)* f(x) = ;f (x) =: -; f "(x) =…

A: Using the given informations you need to find out the domain, increasing &amp; decreasing interval,…

Q: 2 f(x) = x² - 9 %3D (- 4,f(– 4)) = (0,f(0)) = (4,f(4)) =

A: Given that  f(x) = 2/(x2 - 9)  We need to find the following points. Now, f(-4) = 2/((-4)2 - 9)…

Q: -8- -7 -6- 5- y = f (x) 3- -2 sy = g(x) LO 4-

A:

Q: Suppose f(x)=(x−5)(x+4) Solve (x−5)(x+4)=0 for x. What x-value produces a maximum (or minimum)…

A: Given: x-5x+4=0 To Find: Maximum and minimum value of fx. Concept: Suppose that x=c is a critical…

Q: Suppose that 2 sf (x) < 4 for all values of x. What are the minimum and maximum possible values of…

A:

Q: -3x +4, x < -2 2²-2, x2-2' If f (x) = find f(-2). %3D

A: Given To evaluate  f(-2)=?

Q: 1. f(x) = Vx2 – 4 (x²–9) 2. f(x) х+3 х+8 3. f(x) x2 +x-2

A: