The piecewise defined function P(x) is given by: -2 if x < -4 P(x) = x2 – 8 if - 4 2 (a) (4 points) Find the following: (i). P(-5) = (ii). P(-2) = (iii). P(2) = ( iv ) . Ρ(7 )- (b) (7 points) Plot and label your points from part (a) and then sketch the graph of y = P(x). 10 5- -10 -5 5 10 -5

Q: Find the requested function and state the domain. 6 (g o f)(x) for f(x) = and g(x) = 2-x 6

A: Given : fx = 6x6gx = 2-x

Q: For the function f(x) = x +7, find f(x). | Of (2) = a -7 Of (x) = x5-7 Of () = (-7) OS (2) = + 7

A: Given:…

Q: Given f(x) = 23 10x, evaluate the following. (a) (f of-)(42) = (b) (f o f)(40) = %3D

A: First we will calculate the inverse of f. Then see that the composition of f and f inverse works…

Q: Find f'(x) for the following function: 6 + 4 x + 1 f(x) f- (x) = |

A:

Q: For the function f(x) = 7x² - 3x + 2, f(x+h)-f(x) h evaluate

A: f(x)=7x2−3x+2

Q: snip

A: Given: fx=1x and fgx=x+1x2-x

Q: Suppose the functions g and f are defined as follows. h(x) = -5+ 4x2 g (x) = 4 – 9x (ə) Find (4)…

A: Given that, h(x)=-5+4x2 and g(x)=4-9x. Part (a) The value of hg(x) is same as hg(x)=h(x)g(x)…

Q: se the piecewise-defined function to find the following values for f(x). x)= 4)= [ -5) = 0 )) = 5…

A:

Q: f(x) = 2 (x+4)²-3 for 4x - 3 for Find f(-5) x 1

A:

Q: Please determine the domain of the function

A:

Q: f(x) = 2x4 + 2x³ – x² + 2x +3 and g(x) = x + 1 find (승)(2) and (-4).

A: fgx=f(x)g(x)=2x4+2x3-x2+2x+3x+1

Q: For f (x) = x² + 6 and g(x) = V1 – x find the following values. a. (f + g)(x)

A:

Q: Find the smallest value of the function f(x) = x³-3x² - 9x + 5 on the domain −4 ≤ x ≤ 4.

A:

Q: If f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and  f(4). Is f(x+y) =f(x) +f(y) for all…

A:

Q: For the functions f and g find a. (f+ g)(x), b. (f- g)(x), c. (f• g)(x), and d. |(x). f(x) = x - 8,…

A: Solution ) f (x) = x - 8 , g (x) = 7x + 9 a ) ( f + g )x = f(x) + g (x)  ( f + g )x  =  x - 8 + 7x +…

Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, =&gt; f-1(y)=x

Q: 2. Evaluate the function f (x) = x² - 3x + 12 at the following values or (a) f(-5) expressions. (b)…

A: