The graphs of two functions, f and g, are illustrated. Use the graphs to answer parts (a)–(f). y=g(x) |(2, 2) (4, 1) (6, 1) (6, 0) 22, 1) 2 (3, –2) (5, –2) (4, –3) (a) (f+ g)(2) (b) (f + g) (4) (c) (f – g) (6) (d) (g – f) (6) () ()(4) (e) (f•g)(2) 2.

The function f(x) has been transformed to y = -2f(-x+3)+1, which has resulted in the mapping of (4, -2) to Select one: O a. (-5,5) O b. (-1,5) O c. (-7,5) O d. (11, -3)

Please help me with number 3

Write the function as a composition of two functions. 1 2 y= (x² +8x) ³ - 7(x² +8x)³ +3 x² + 8x) ³ Choose the correct answer below. O A. O B. O C. 1 2 f f(x)=x² + 8x and g(x)=x³ - 7x³ +3, then y = f[g(x)]. 3 3 If f(x) = x³ - 7x² +3 and g(x)=x² +8x, then y = f[g(x)]. 1 2 If f(x) = 8x³ - 56x³ +3 and g(x)=x², then y = f[g(x)]. 1 2 OD. If f(x)=x If f(x)=x³ - 7x³ +3 and g(x)=x² + 8x, then y = f[g(x)].

Please answer this WITHOUT A CALCULATOR. Your answer must match ONE of the answer choices. there is only ONE solution. If your answer is none of these choices than your answer is wrong and please check your math.

Graph both functions on one set of axes. f(x) = (3) * O -4 4 and g(x) = 1.5* -2 -2 y 2 y 6 4 2 f 2 2 4 X X 4 -2 -2 y 6 4 2 y 6 4 2 2 2 g 4 4 X X

A(x) is a quoadratic function. B(x) is a quadratic function. What type of polynomial function is A(x) ·B(x)? 1. 2. A(x) is a linear function. B(x) is a linear function. What type of polynomial function is A(x) · B(x)?

The graphs of two functions are shown below. Evaluate the function at the given values of x, if possible. a) (f-g)(-1), b) (f∙g)(-2), c) (g/f)(2), d) (fog)(-1), e) (gof)(-2)

The length of a rectangle is 4 feet more than 3 times the width. (A = { x w and P = 2l + 2w) (a) Express the area A as a function of the width w. O A = {w square units (2 O A(t) 48 square units 3 3 O A(w) = 3w2 - 4w square units A(w) 4w² + 3w square units O A(w) = 3w2 + 4w square units (b) Express the perimeter P as a function of the length {. O P() =D 을(? - 1) units O P(w) = 8w + 8 units O P(t) = 8l + 8 units O P(t) = -3 8 units O P(t) = 1 units

The transformation of a function f(x)f(x) into a function g(x)g(x) is given by g(x) = Af(Bx + H) + K g(x) — Af(Ba + н) + К. where the constants • AA vertically scales the function. (negative A reflects the function about the x-axis.) • BB horizontally scales the function. (negative B reflects the function about the y-axis.) • H horizontally shifts the function. • K vertically shifts the function. Transform f(x) into g(x) where the transformation is g(x) = - 2 · f(x + 2) - 2 The function f(x) is shown below in red. Graph the transformed function g(x) by first placing a dot at each end point of the new transformed function and then click on the "line segment" button and connect the two blue dots. (Hint: Transform the function by applying the constants in this order: H, B, A, K.) 4 -б -5 -4 -3 -2 -7 6 -1 -2 -3 -4 -5 |-6+