2. DETAILS SCALCET8 1.1.025. If f(x) = 3x2 - x + 4, find the following. %3D f(1) = %3D f(-1) = %3D f(a) = f(-a) = f(a + 1) = 2f(a) = f(2a) = %3D f(a²) [f{a)]? : %3D f(a + h) = 3. DETAILS SCALCET8 1.1.027. Evaluate the difference quotient for the given function. Simplify your answer. f(x) = 5 + 4x - x2, (3 + h)- f(3) %3D

Q: Evaluate the composite function given that f(x) = 3x +5 and h(x) = Vx+3. (fo h)(6) (fo h)(6) =…

A:

Q: 5. Let g(x) = x2 - 3x + 5. Find g(-4). | a) g(-4) = 1 b) g(-4) = 33 c) g(-4)=-23 d) g(-4) = 9 %3D

A:

Q: Determine h(x2) for the following function. 4x h(x) = %3D x2 + 9x + 20

A:

Q: . If f f() dr 17 and | f(x) dr = 8, find f(x) dr. %3D

A:

Q: 4. Use f(x) = x² - x, g(x) = 2x - 1 and h(x) = x + 3, determine g(f(x)). %3D %3D

A: This question can be solved using the concept of composition of function.

Q: Let f(x) = 8 – 5x + 11x. Calculate the following values: %3D f(a) = f(a + h) = f(a + h) – f(a) for h…

A:

Q: Evaluate f(-3), f(0), and f(1) for the piecewise defined function. x- 5 if x s -1 if x > -1 f(x) =…

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Q: For f(x) = 3x-9 and g(x) = find the following function 3 %3D a. (fo g)(x); b. (g o f)(x); c. (f o…

A: f(x) = 3x-9 9(x) = x+ 93 a) (f0g) (x) = f (g(x)  = f x+93 = = 3x+93-9= x+9 -9 =x(fog) (x) =x…

Q: 01. Plot the function (x) = x" -3x° +10x" – x - 2 for -65x56 , Draw the function as a solid blue…

A: x=-6:0.01:6;f=@(x)(x^4-3*x^3+10*x^2-x-2);for i=1:length(x)…

Q: 5. Graph the following function: f(x) = /x – 2 6. Graph the following function: f(x) = 3|x-1|

A: 5) The graph is shown below:

Q: 4. Graph the functions f (x) = 2(x + 6)² + 2 and its inverse.

A: The given function is f(x) = 2(x+6)2 + 2  When we put x = 0, the value of f(x) comes out to be…

Q: Given the function f(x) = 6x2 7x +7. Calculate the following f(- 2) = f(-1) = %3D f(0) f(1) = f(2) =

A: We are given with the function and we have to find the value of the finding by putting various…

Q: The function f(x) = 2(x-3)2 + 2 will be wider than y = x2. %3D True False

A: Here,  f(x)=2(x-3)2 +2and y=x2 is given. The graph of the functions is as shown

Q: Let f(x) = 6x – 10. Find each of the following: %3D f(a) = %3D 2f(a) = %3D f(2a) = f(a + 2) = %3D…

A: We have to find function value

Q: Let f(x) = -3x² and g(x) = 2x – 6. Find and simplify_the following. | g(f(x)) = b. f(g(x)) =

A: f(x)=-3x2, g(x)=2x-6a) g(f(x))=g(-3x2)=2(-3x2)-6=-6x2-6g(f(x))=-6x2-6