Put the following equation below in function notation using a as the independent variable. -6n + 8a = 8a + 6 O f(a) = -12 %3D O f(a) = - - 1 O f(a) = -1 + O f(a) = -1

Q: Evaluate the function at the given values of the independent variable and simplify. g(x) = 3x2 - 5x…

A: a). Put x = 0 in g(x), we get b). Put x = -2 in g(x), we get

Q: Find the f'(x=5) and f'(x=-2) from the following functions:  y=-x-4 y=9x1/3 y=5x4 y=cx

A:

Q: Find the following for each function: (a) ∫(2) (b) ∫(-2) (c) ∫(-x) (d) ∫(x-2) (e) (f) f(2x).

A:

Q: Evaluate the function at the given values of the independent variable and simplify : h(x) = x4 - x2…

A: a). Put x = 2 in h(x), we get b). Put x = -1 in h(x), we get

Q: Consider the following function I0 2.

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Q: Given the function 2x +9 f(x) = 2x + 18 x >0 Calculate the following values: f(- 1) = f(0) = f(2) =

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Q: Evaluate the function at the given values of the independent variable and simplify :    f(x) = 3x +…

A: f(x) = 3x + 7    .......................(1)   a. f(4) put x = 4 into eqn(1) f(4) = 3*4 + 7        =…

Q: x-3 d) f (x) = Vx-4

A:

Q: Given the function f(x)=3x^2−2x+8 Calculate the following values: F(-2) = ? F(-1) =? F(0) =?…

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Q: Which of the following functions is odd? y=x^3-2 y=2x-1 y=x^3-x y=x^4-x^2 y=x^4-x^3

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Q: For each of the functions y = f (x) described below,find f (2).

A: f(2)

Q: Find the following for each function: (a) ∫(2) (b) ∫(-2) (c) ∫(-x) (d) ∫(x-2) (e) (f) f(2x).

A: Given, f(x)=3xx2-1 To find the following for each function: (a) f(2) (b) f(-2) (c) f(-x) (d) f(x-2)…

Q: Find a function f that satisfies the conditions. f"(x) = x-3/2, f'(1) = 7, f(4) = -1 %D

A:

Q: Find the domain of the following function y(x)=2In(x-1)

A: The given function is: y(x)=2ln(x-1) To find the domain of the function.

Q: Evaluate the function at the given values of the independent variable and simplify : h(x) = x4 - x2…

A: Given function is

Q: Write an equation that gives g(x) as a function on f(x); both represented in the following tables.…

A:

Q: Find (fo g)(x) for the indicated functions. 4 f(x) = 6x- 7, g(x)= x+7 (fog)(x) =D

A: To find the composition of the functions.

Q: Зх-1 B. F(x) = 2x2+x-3 G(x) = , find the following 3 functions value. 1. f(0) = 2. f(3)= 3. G(5)= 4.…

A:

Q: Which of the following is the parent function for a) f(x) = x b) flx) = x c) fx) = Ix| d) flx) = Vx

A: Given function is y=23x2. We have to find the parent function of y=23x2. The parent function is…

Q: Simplify the difference quotient f(x)−f(a)/x−a for the given function.   f(x)=2-6x-x^2

A: The given function is f (x) = 2– 6x – x2. Substitute x = a in f (x) = 2– 6x – x2 to obtain f (a). f…

Q: b) f (x) — х2 + 6х — 3

A:

Q: Find the function value, if possible:f(x) = 3x − 5 (a) f(1)  (b) f(−3)  (c) f(x + 2).

A: Given function is fx=3x-5. To find: (a). f1   (b). f-3    (c). fx+2 Solution: We have, fx=3x-5 fa is…

Q: Which of the following equation defines a function? O 4x + 8y = 2 O 4x + 8y? = 5 O ? = 12 – a? O 8x…

A: Any relation between two variables say x and y, is called a function i.e. y=f(x) if for any x value…

Q: Find the following for each function: (a) ∫(2) (b) ∫(-2) (c) ∫(-x) (d) ∫(x-2) (e) (f) f(2x).

A: Given,

Q: Graph the function f:R→Z, f (x) = 3

A:

Q: Find the function that corresponds with the graph below. 10 O f(x) = 2 · 5* O f(x) = 2 · 4* %3D O…

A: topic - exponential function f(x) =2•5x

Q: Find the domain for the functions: x2-1 1) y = x+2

A: We have to find the domain of the function.

Q: Which function has a y-intercept at 2? * x² – x – 2 (x +2) (x – 2) f (x) = f (x) = x² + 1 x2 + 2x…

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Q: Find (f o g)(x) for the pair of functions and give the domain. 1 f(x) = /5x, g(x) = |

A: I'm considering the field to be real numbers. If the field Is complex numbers then the domain of fog…

Q: The function h is defined as h (x) = 3x-2. Find h (x+5). Write your answer without parentheses, and…

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Q: Find the range of each of the following functions. (a) ƒ(x) = x² +7 (b) f(x) = 2x3 – 4 (с) f(«) — —…

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Q: Find the Domain of the following functions. а-5 1 o f(x) = х2- 8х + 15

A: Given f(x)=1x2-8x+15 ⇒f(x)=1x2-3x-5x+15 ⇒f(x)=1x(x-3)-5(x-3) ⇒f(x)=1(x-3)(x-5)

Q: Given the functions ?(?)=3?+5f(x)=3x+5, ?(?)=4−?2g(x)=4−x2, and ℎ(?)=1?h(x)=1x. (f+g)(x)

A: Given: f(x) = 3x+5 g(x) = 4-x2 h(x) = 1x     To determine: (f+g)(x)

Q: Put the following equation below in function notation and evaluate, using x as the independent…

A: This question is related to linear equation.

Q: Find the following for the function f(x) = 3x + 2x- 3. %3D (a) f(0) (b) f(5) (c) f( - 5)

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Write the following in function notation. y = 3x - 10 A) x 3y- 10 %3D B) f(x) = 3y - 10 C) f(x) = 3x…

A:

Q: Evaluate the function at the given values of the independent variable and simplify : f(x) = x lxl ,…

A: Given function is fx=xx. We know that x always gives positive value. a) To evaluate f6. Put x=6…

Q: Find the domain and range of the following functions. 1. y= 2x/3 +2 2. y = x

A: Domain is all the x values we can put into the equation y which gives possibility of solution.…

Q: Given f(x) + x°(f(x))' : - 8 and f(1) = 2, answer the following: %3| f'(1) =

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Q: Find functions f and g so that fo g = H. H(x) = (8x + 1)4

A:

Q: Find the following for the function f(x) = 3x2 + 2x- 4. (a) f(0) (e) - f(x) (b) f(2) (f) f(x + 3)…

A: The given function is f(x)=3x2+2x-4

Q: Mr. Hogan asked Rachel to accurately write 3x + y = -4 in function notation. What should her answer…

A: Mr. Hogan asked rachel to accurately write 3x+y=-4 in function notation.

Q: Given the function: 5x - 3 r < 0 f(x) = { 5x - 6 x 0 Calculate the following values: f(– 1) = f(0)…

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Q: Express the given function h as a composition of two functions f and g so that h(x) = (fo g)(x),…

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Q: For the function, find the following. X + 1 2x (a) f"(x) 242 (b) f"(3) = 2/3 ||

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Q: Evaluate the function at the given values of the independent variable and simplify : f(x) = x/lxl ,…

A: Given that, f(x) = x/lxl Then we get, f(6) = 6/l6l f(6) = 6/6 f(6) = 1

Q: find the domain and range of the following functions 1+x %3D 1-2x x+2 ソ= * (x² -1) .2 4 y =

A: Topic = Functions As per guidelines , At a time only three sub-parts can be answered. please repost…

Q: find the following for each function:(a) f(2) (b) f( - 2) (c) f( - x) (d) - f(x) (e) f(x - 2) (f)…

A: Given: The function f(x)=x2-4

Q: Given the function f(x) = 4 + 5x, calculate the following values: f(a) = f(a + h) : f(a + h) – f(a)…

A:

Q: Find (fo g)(x) and (g o f)(x) for the pair of functions and give the domains. 17 f(x) =- g(x) = 3 –…

A: Given that value of f(x) and g(x) we find (f0g)(x) and (g0f)(x) . We know that (f0g)(x) = f(g(x)).…

Q: Find the following values for f(x) = 7. (a) f(3) (b) f(- 1) (c) f(1.9) (d) f(- 3.2)

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: