Use the table to evaluate the given compositions. b.g (f (2)) e.f(f(f(1))) h.g(f(h (−1))) ah (g (3) ) d.g (h (f(-1))) g.f(h (g (-2))) j.f(f(h (-1))) ch (h (1)) f.h(h (h (−1))) i.g (g(g (-2))) X f(x) g (x) h(x) -3 NWNW 2 - 3 1 N I -1 1 I -1 ONINto -2 1 -1 2 -1 WINO 0 -2 NONN -2 2

Q: 4. A sketch of r(x) is shown. Which of the following could be an equation for r(x)? a. r(x) = (x-a)…

A: The given graph of r(x) has zeros at point a , -b and  -c . For the zeros of r(x) , put  r(x)=0 .…

Q: 4. Function f was transformed using f(bx) as shown below. Find the value of b. -1 -2 -3 .4 -5 %3 1…

A:

Q: Let f(x) = x² + 5.5x + 722 . Which of the following is equal to f(x + h) – f(x)? %3D O x² + h? + 2xh…

A: Given that f(x) = x2 + 5.5x + 722. We have to find the value of f(x + h) - f(x).

Q: 2. The degree of the polynomial function y = = 2x(x − 1)³(x − 2)² is a. 3 b. 4 C. 5 d. 6

A: Polynomial

Q: Express the given function h as a composition of two functions f and g so that h(x) = (f o g)(x). 1…

A:

Q: d The constant term of (x¹ - 3)º e The last term of 2 G- 3

A: It is related to binomial expansion : 1: the constant term of (x⁴ - 3)⁹ 2: the last term of ( -2x² -…

Q: For the given functions f and g, find the indicated composition. x-6 5 f(x)= g(x) = 5x + 6; (gof)(x)…

A: For the given functions f and g, to find the indicated composition.fx=x-65, gx=5x+6; g∘fx

Q: Let g(y)= - y² + 5y +6. Find g(10). g(10) = (Simplify your answer. Type an integer or a fraction.)

A:

Q: 3. 2. 4. LEA f(x) 192 2 6. -1 nisg(x) 0sbi bne gni2lot ent bnit 1 (x)04 x- 5 . Use the tables above…

A: a)Let us take  But from given table Since inverse of f exists , so f is one-one Therefore, we have

Q: 6. The function f(x) contains the point P(6, 3). If the function f(x) is transformed into the…

A:

Q: Given that g(x) = 3x-1/x+2 and h(x) = 7x+1/5x-1 a. Evaluate g(3). b. Show that hg(3) = 61/35

A: We evaluate the following function

Q: a. Find h(k(- 2)) b. Find h(k(x)) c. Find k(h(- 2)) d. Find k(h(x)) 3. Consider the functions, m(x)…

A: In this question we will use basic of calculus i.e concept of composite function. We will simply…

Q: Use the table below to find the compositions: X -9 -7 -4 -3 0 1 4 12 f(x) -3 0 1 -4 -9 -7 4 12

A: (f°g)(-7)=f(g(-7)=f(-4)=1(g°f)(1)=g(f(1)=g(-7)=-4

Q: Consider the following five functions. • a(x) = x − 2 • b(x) = |x| • c(x) = x + 2 • d(x) = −x • e(x)…

A: Given, ax = x-2bx = xcx = x+2dx = -xex = x+4   fx=e∘d∘c∘b∘ax   f(x) is the composition of the five…

Q: 3b.

A: