The functions f, g, and h are defined as follows. - 2x² + 6 f(x) = g(x) = 4|- + x| h (x) = 5+ /-5+x Find f(-2), g(- 5), and h(8). Simplify your answers as much as possible.

Q: For the value of x does the function F(x) = x3 - 3x2 attain the absolute maximum in the interval…

A: For absolute maximum and minimum we need to calculate the value of f (x) on critical points and…

Q: Given f (x) = 3x² + x- 5 and g (x) = - - 3, find (f- g) (x). 3z2-8 3x + 2x 2 O 3r? + 2x 8 O 3z? - 2

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Q: for f(x) = 5x2-4x+6 and h(x) = -4x2-6x-8 find the equation of the given function, then evaluate the…

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Q: The value of the function f(x) = 3x - 7 at 5 is________

A: Given function is: f(x) = 3x - 7

Q: what value of x will be found in the domain of function f(x) = 10/x-2

A: To find Domain , f(x) should be defined.

Q: If f(x) = -2x + 7 and g(x) = x² – 2, then f(g(3)) is equal to

A: Given : fx = -2x+7gx = x2-2

Q: The range of the function f(x) = 3/25 – x² + 2 is

A:

Q: Find the domain of the function f(x) = √(24 - 2x)

A: f(x) = √(24 - 2x) We know that the value or the expression inside the radical symbol  ''√'' should…

Q: the functionf and g are given by f(x)= x – 1 and g(x) = x², then D, =

A: Answer and explanation is given below....

Q: value of x does the function f(x)=x^3-3x^3 attain the absolute maximum in the interval

A: Given, f(x)=x3-3x3=-2x3 Interval = (-1,4)

Q: for what value of x does the function g(x)=1/3x3-2x2 concave downward?

A: Given  gx=13x3−2x2

Q: At what value of x does the function f(x) = x^3 - 3x^2 - 9x change from increasing to decreasing

A: Increasing decreasing function problem

Q: ch that the function X-4 x 5. f (x) =

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Q: At what value of x does the function f (x) =x- 3x-9 x change from decreasing to increasing?

A:

Q: Find the domain of the function. h(x) = 2x/  (x2 - 4)

A: we have to find the domain of h(x)=2x(x2-4)

Q: In the given question , use the functions f (x) = x + 4 and g(x)= 2x - 5 to find the given function?…

A: Consider the function, fx=x+4,         gx=2x-5To  calculate   the   inverse   of   function…

Q: given the function h(x)=2/3-x, find f(1/2)

A: Note f=h. Given: h(x) = 2/3-x. So,       h(1/2)=2/3-(1/2)                =1/6

Q: Find the domain of the function : f(x) = x / (x2 + 4x - 21)

A: Given: fx=xx2+4x-21 we know that if hx=pxqx then domain of hx will be all values of x except qx=0…

Q: The functions f and g are defined as follows. f(x) = -4x² - 3 g (x) = 3x+4 Find f (3) and g (-6).…

A: f(x)=-4x2-3 and g(x)=3x+4 We have to find f(3) and g(-6)

Q: Given the function f(x)=5x-x^2, express the value of f(x+h)-f(x) / h in simplest form

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Q: for f(x) 4x2-2x+8 and h(x)=-3x2-6x-7 find the equation of the given function, then evaluate the…

A: Given, f(x) = 4x2-2x+8 and h(x)=-3x2-6x-7  f-h = f(x)-h(x) => f-h = (4x2-2x+8)-(-3x2-6x-7) =>…

Q: What values of x would be found in the in the domain of function f(x)=10/x-2

A:

Q: Find the domain of the function f(x) =x/(x2 + 4x - 21)

A: fx=xx2+4x-21

Q: The function f (x) = x3-x . is: х2-1 %D

A:

Q: find the domain and range of the given function x2 + X f(x) x³ – 9x2 + 2x -

A: Here, we need to find the domain and range of  fx=x2+xx3-9x2+2x. We know that,  The domain of a…

Q: If f(x) = x2 + 3x - 2, find f(4) If h(x) = |5x - 17|, find h(0)

A: We have given  f(x) = x2+3x-2 Put x =4 f(4) = 42+3×4 -2 f(4) = 16 + 12 -2 f(4) = 26 So f(4)= 26

Q: The range of the function f(x) = x2 - 2x + 19 is:

A: In this question we have to find the range of the function given f(x)=x2-2x+19

Q: Find the intervals of increase and decrease for the given function. f (x) = 3x5 - 20x³ - 5

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Q: Find the domain and Range f (x 2 x-3x

A: To find the domain and range

Q: Given f(x) =x²- 1, find the value f(x+h) - f(x). 2x + h - 2 2х + h

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Q: If f(x)=x2-1 and g(x)=x-1, find the value of (f/g)(x).

A: We can write (f/g)(x) as:

Q: The value of the function f(x) = 3x - 7 at 5 is .

A: To find the value of the function

Q: If f(x) = 2x + 3 and g(x) = x² - 4, what is g(x) - f(x)?

A:

Q: If f(x)= -x² + 2x - 1, find (x +h) - f(x) h z0 Simplify your answer as much as possible

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Q: Find the value of x for which the value of the function f(x) = x3 + 3x2 - 2 is minimum?

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Q: If  f(2)=−3 , determine the value of k in the function  f(x)=−2x^2+kx

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Q: If f(x) = -x2 + 2x, find f(2) - 6. If g(x) = 3x - 2, find g(7) + g(-5)

A: To find the value of a function at a point we substitute the value in the definition of the…

Q: Given the function f(x)= x² + 2x+1, find f(-2).

A: Put x= -2 in f(x)

Q: If f(x) = 2x -1 and g(x) = 3x + 5, what is f(g(-3))?

A:

Q: Find the domain of the function. f(x) = x / (x2 + 2x - 3 )

A: We have the given rational expression as fx=xx2+2x-3 Domain is the set, or interval, of numbers for…

Q: Find all the possible x-values of f(x)=√x - 2

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Q: If f(x) = 3x – 4 and 9(x) = x°, what is the value of f(g(2))?

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Q: 3. Find the value of the function: If f(x) = 3x - 4x2 + 3x +4, find f(-3). %3D f(-3) =

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Q: For what values of x is the function f(x)=x4−2x2 strictly increasing?

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Q: The functions f, g, and h are given by f(x) x + 15, g(x) 4x+2, and h (x) =x-10. The value of (f…

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Q: Find the domain of the function. f(x)= x2+4x-5 /  3x2-4x-5

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Q: For what value of X does the function f(x) = X3 - 3X2 attain the absolute maximum in the interval…

A: topic - absolute maximum of a function

Q: Find the domain of the function f(x) = /x² – 2x – 15 Domain is (-00,-3]U[5,00) O Domain is (-00,…

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Q: If f (x) = |3x - 2| and g(x) = |x| + 2, find f (1), f (-1), g(2), and g(-3).

A: fx=3x-2  &  gx=x+2 Now, f1=31-2=1=1 f-1=3-1-2=-5=5

Q: 2. If f(x)=-2x-3 and g(x)=x²+5x, find each value a. f(-1) b. g(-3) c. g(-2)+2

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Q: Use the functions f(x) =x - 3 and g(x) = x to find the value or function. (g-1 of-1)(-3) (g-1…

A: The given functions are: f(x)=x8-3     and    g(x)=x3

Q: The function, f(x)=1.8x+32f(x)=1.8x+32, is used to convert temperature in Celsius temperature, xx,…

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