Given the functions below, find g(5) + h(2). g(x) = 2x 5 h(x) = 4x + 5 O 20 28 24 18

Q: 4. For the functions f (x) = x + 2 and g(x) = x² – 2x + 7, which expression has the greatest value?…

A:

Q: Given the functions below, find f(x) +g(x) f (x) = 3x2 + 2x +1 g(x) = x2 -6x +3

A: Given,          The two functions are fx=3x2+2x+1 and gx=x2-6x+3.

Q: For function g(x)=3/2x-2, find g(4a)-g(a)

A: The function is given as

Q: . Given f(x) = 2x-3 and g(x) = x +5, find f(g(2)).

A:

Q: Given f(x) = 2x2 − 1 and g(x) = −2x + 4, find the following. f(2) − g(2)

A: Given:

Q: Given the function k(x) 3x - 4, find x when %3D k(x) = 8. You MUST show work! %3D

A:

Q: [4] Given the function f(x) - 3x- 2x*, evaluate and simplify: 1(-3) a. b. s(2x) c. S(-3+ h) - S(-3)…

A: Given that, f(x) = 3x - 2x2 Ans (a). we have to evaluate f(-3) f(-3) = 3(-3) - 2(-3)2 f(-3) = - 9 -…

Q: Given f(x) = 2x2 – 1 and g(x) = –2x + 5, find the following. f(3) − g(3)

A:

Q: Find the domain of the function. f(x) = Vx-8 6. 8. f(x) = x2 + 8

A:

Q: Given the function h(x) = -2k(x - 1) + 3, and k(x) = x + 15, write the equation for h in terms of x.

A:

Q: For the function g(x) = x² the value of g(2 + h) is: 04+h? 04+4h + h² O2+h?

A: Given Data: Function: g(x)=x2 ......(1) The value g(2+h) can be obtained by substituting the…

Q: 2. For the function f(x) = 2x - 3x + 1, find the following: (b) f(-x) %3! (a) f(3) (c) f(x + h)

A: Given : For the function f(x)=2x2-3x+1(a) To find: f(3)=232-33+1f(3)=10

Q: For g(x)=x2+2x+8, find and simplify g(4+h)−g(4). g(4+h)= g(4+h)-g(4)=

A: The function is considered as  gx=x2+2x+8. To find the value of g4+h, substitute x=4+h in gx=x2+2x+8…

Q: Given the functions f(x)=2x2+8 and g(x)=3x2-4x-1, find and simplify the following: 1. g(t-2) 2.…

A:

Q: Given: f(x) = 3x - 5 g(x) = x² + 10 Find: g(f(5)) = ?

A:

Q: For g(x)= 4x – 2, find g(8) and g

A:

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: for the function g(x)=(1)/(2)x-8, find g(4a)-g(a)

A: g(4a)=124a-8 g(4a)= 18a-8 Now g(a) = 12a-8

Q: Given the functions g(x) = 5x - 2 find g'(x) %3D 4х + 3

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Given the function fG)=x²+3 and frl= Jx-3 find F(f-!(28)

A: f(f-1(28)) = 28   The detailed solution is as follows below:

Q: Evaluate the following functions. Show your solution. Given the function f(x)=6x²+12x-15,where, a. x…

A: Here we have given a function f(x)=6x2+12x-15. So value of given function when x=2. a.)…

Q: Find the value of f(-142) for the function below. f(x) = -0.2(x + 223)

A: To find the value of f(-142)

Q: For the function g(x)=1/2x-8 find g(4a)-g(a)

A: Given,

Q: Given the functions             g(x) = ( 5x - 2)/8x find g-1(x)

A:

Q: Q3) Find the value of the constant c and the distribu function (x) = c/(x² + 1), where -* <x< , %3D

A:

Q: 4. For the functions f (x) = x + 2 and g(x) = x² – 3, which expression has the greatest value? a.…

A:

Q: Given g(x) = 3x + 3, find four points on the graph of the function.

A: gx = 3x+3four points on the graph of g(x) = ?3x+3 ≥ 03x ≥ -33x3≥- 33x ≥ -1So the domain is [-1, ∞).…

Q: Given  f(x) = 4x2 − 1  and  g(x) = −4x + 8,  find the following. f(2) − g(2)

A:

Q: Find the domain of the function. 5 f(x) = x² - 19x The domain is

A: We have to find the domain of given function.

Q: The functionh is defined as follows. x²-4x-32 h (x) = 2-4 Find h (-3). Simplify your answer as much…

A: Answer is -2.2 Explanation is given below

Q: For what value of x does the function g(x) = x³ – 2x² concave downward? А. x2 -1 В. х20 С. х2 -2 D.…

A:

Q: Use f(x) = x²-x, g(x) = 9– 2x, and h(x) = x² + 2r-63 Find (g f)(x)

A: Given: f(x)=x2-xg(x)=9-2xh(x)=x2+2x-63 The objective is to find leading coefficient of the function…

Q: lf f(x) = 1-3x and g(x) =x² + 1, find the following. 15. f (-2) = 2 16. g (2) =2 17. g (3) - f2) =…

A:

Q: (t) below, find f'(x). f(x) = (3x³ + 3x²-4).x²

A: Given a function f(x)=(3x3+3x2-4)x2 Formula used : d(xn)=nxn-1

Q: 3. Given the function f(x) = 1.4x2 -4.2x +6.5, find the indicated values. a. f(3) b. f(- 3) c.…

A: A polynomial function is given in the problem. We have to find the Value of the function at the…

Q: Evaluate h(4), where h = go f. 3 f(x)=√x²9, g(x) = 6x³ +9 h(4) =

A: The given functions,fx=x2-93, g(x)=6x3+9

Q: 3s*–12s²+12 255

A:

Q: Given f(x) = 2x2 − 3 and g(x) = −2x + 4, find the following. f(2) − g(2)

A: Given:

Q: Given f(x) = 2x2 − 4 and g(x) = −2x + 2, find the following.   g f   (−3)

A:

Q: For what value of x does the function g(x) -x³ - 2x2 concave downward? A. x -1 В. C. x -2 D. x< 2

A:

Q: For Exercise, evaluate the function for the given value. h(x) = x2 + 3x; h(3)

A: Let the given function is:

Q: (b) Given that f(x) = g(x') (2) =3 and g(2) =5, find the value of

A:

Q: Given the functions g(x) = 3x + 1/ 2x - 4 find g-1(x)

A:

Q: What is the degree of the function f(x) = (x + 2)(2x - 8)? A. 0 В. 1 С. 2 D. 3

A:

Q: Complete the table. g(x) = |8x + 5| x g(x) −3   −2   0   1   3

A: f(x) = x = x  , ∀ x∈ℝ

Q: Given g(x) = 2x + 5, find g(1).

A: Given that: g(x)=2x+5

Q: 2. Given f(x) = 2x² + 3x – 5 and g(x) = 4x + 7, find and simplify: a) f -g b)g¬'(f(x))

A:

Q: Given f(x)=2x2+1f(x)=2x2+1      and g(x)=3x−5g(x)=3x−5       , find the following.  f(g(2))

A:

Q: Given the function f(x) = -x2 5, express the value of e+h) f(x) in simplest form.

A:

Q: The function f(x) g(x) = 2x + 22. What is the value of k? = 2x + 4 was replaced with f (x + k)…

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.