g(x) = f(x + 1) - 2 Two functions, f and g, are related by the given equation. Use the numerical representation off to make a numerical representation of g.   x -100 -50 0 50 100     f(x) 25 80 120 150 100

Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function f(g[h(1)]) without finding an…

A: The given functions are To solve the function First find the value of h(1)

Q: 4. f (x) = 5 - x and (gof) (x) = x2-10x + 30 since the function g(x) is the following- which is…

A: The solution is:

Q: x 4 - r(4) = r( – 3) = т(6) — r(10) =

A: We have to find r(4), r(-3), r(6), and r(10). In each case, we have to decide in which of the given…

Q: F(x)=3x^2+2x-7 , G(x)=4x-5x^2+3x: Find G(x)-F(x)

A:

Q: Determine the domain of the function represented by the given equation. (x) =V4-x² A) All real…

A:

Q: The domain of the function f (x) = x/x - 2 consists of all x ∙ 2.

A: We have to find domain of the function fx=xx-2 We can see this function is defined for all real…

Q: Express the function,h(x) =1/(2x - 3) as a composition of two functions f and g so that h(x) = (f ∘…

A: We will take the inner function as g(x) and the outer function as f(x). Note that 2x-3 is inside.…

Q: Express the function,h(x) = |3x - 4|as a composition of two functions f and g so that h(x) = (f ∘…

A: h(x) = |3x - 4| To write h(x) as a composition of two functions f and g so that h(x) = (f ∘ g)(x)…

Q: Let f(x)=8x^3-18x^2-11x+15. Solve, algebraically, f(x)=0

A:

Q: Find the difference quotient, f(x+h)-f(x)/h where h is not equal to zero of the function f(x) =2x+1…

A:

Q: (r-1) (x-1) If f(x) = (2x+5) and g(x) = then the function (2) (x) is (2x-5) (2x+5) a) (E) (x) =…

A:

Q: Two functions, f and g, are related by the given equation.  Use the numerical representation of f to…

A: Two functions, f and g, are related by the given equation.   x:  -2, -1, 0, 1, 2 f(x):  10, 8, 5, 2,…

Q: 5. Find the exact solutions: x²-3x+6=0 6. Given f(x)=x-5 and g(x) = -2x²+ 4, find the composite…

A:

Q: Find the domain of the function : g(x) =1/(x2 + 1) - 1/(x2 - 1).

A: The domain of  rational function is the set of all real numbers except those for which the…

Q: Differentiate the function. g(x) = (3+2x)/(7-8x)

A:

Q: Evaluate the function graphically. 10 4 -8 -6 -2 6 -10 -4 10 -6 -8 -10 Find f(-1) co 6. 2.

A:

Q: Ax) Consider the functions = 3* g(x) : %3D and x*. Determine

A: Consider the functions f(x)=13x and g(x)=1x2. We have to determine the value f112-g15.

Q: The function h is defined by h (x) = 2x+4. Find h (x-3). h (x - 3) = [|

A:

Q: The functions, f,g, and h are defined as follows.  f(x) = √-5x+13,  g(x)= x²+12,  h(x)=|12| - 15…

A: Answer is f(-2)=2√5+13. g(4)=28 h(-1/4)=-3 Explanation is given below...

Q: f (x) = 7x^2 - (3 x) + 1 and g(x) = 8 x - 2 Find f (1) = and g(- 1) =

A:

Q: A. В. C. f (x) = f-1 (x) = ƒl (x) x+5 е 2 102 + 5 102x+5 D. f (x) = f-1 (x) = f' (x) e2a + 5 Е. F.…

A:

Q: A function f is such that f(x) = ax³ + bx² + 3x + 4. When f(x) is divided by x-1, the remainder is…

A:

Q: Find the zeroes of the functions algebraically. x2- 14x+ 48 f(x)= 7x x = 8, x = 6, x= x= x =-8, x =…

A: Explanation of the answer is as follows

Q: Find the functions (a) f • g, (b) g • f, (c) f • f, and (d) g • g and their domains f(x) = x³- 2,…

A:

Q: f(x) = 3x-2 g(x) = 4x-1 h(x) = x2 + 5x +1 Let the functions f, g, and h be defined by the equations…

A: Given, f(x) = 3x - 2 .             g(x)= 4x - 1 .             h(x) = x2 +5x + 1  And we are required…

Q: 1. Find the domain of the functions. A) f(x) = 3x+1 15x-1|-4 B) f(x) = x2-7x+12 x+ 5

A: To find the domain of the following functions.A fx=3x+15x-1-4B fx=x2-7x+12x+5

Q: 2x+3 (1) Find the domain of the function_H(x)= 4r x -

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: f(x)=(x^2+2x+3)^3, then f′(x) =    f′(1

A: First find derivative then put x=1

Q: Given the functions g(x) = 2x + 3                                              x - 5  find g-1(x)

A:

Q: Find  (f ∘ g)(x)  and  (g ∘ f)(x)  for the pair of functions. f(x) = x2 + 7x,    g(x) = 9x + 1 (f…

A: f.gx=fgxg.fx=gfx where fx=x2+7xgx=9x+1

Q: Find the upper and lower limits of the function 1/3 X^3 - 3/2X^2 +3

A:

Q: The zeros of a functions Ax) are 3 and 4, while the zeros of a second function g(x) are 3 and 5.…

A: Solution

Q: Find f(x) - g(x) = (f – g)(x). Simplify. f(x) = 9x2- 5x + 9 g(x) = 17 – x³ - 6x2 %3D 123 (f-g)(x) =…

A: Given the given functions are fx=9x2-5x+9gx=17-x3-6x2

Q: f (x) = -1 + √x-2. g (x) = |3/2x-10| , h (x) = 4+x²/x+8 find f (7), g(4), and h (2)  simplify

A:

Q: x² - 4 x2

A: Consider the given piecewise function

Q: Find f+ g, f- g, fg, and f/g and their domains. f(x) = 3 - x2, g(x) = x2 - 4

A: fx=3-x2, gx=x2-41 f+gx=fx+gx2 f-gx=fx-gx3fgx=fx.gx4fgx=fxgx

Q: F(x) = 2x^2 -4 F(x+h)-f(x) /h =?

A:

Q: Express the function,h(x) = (2x - 5)3 as a composition of two functions f and g so that h(x) = (f ∘…

A: Given, hx=2x-53

Q: f(x)=4x-3, g(x)=x+4, (f+g)(x)=

A:

Q: Find the domain of the function h(x)=4x^2-4x+1

A: Explanation of the answer is as follows

Q: Find the functions f ∘ g, g ∘ f, f ∘ f, and g ∘ g and their domains. f(x) = 2x + 3,  g(x) = 4x - 1

A: Given that the functions are  f(x) = 2x + 3  and  g(x) = 4x - 1 we know that domain of given…

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = 3 - x2,    g(x) = x2 - 4

A: Given f(x) = 3 - x2,    g(x) = x2 - 4 To find  f + g, f - g, fg, and f/g and their domains.

Q: f(x)= (x)/(x-2) AND g(x)= (6)/(x2-1), find f(g(x)) and its domain

A: We have given the functions

Q: G(x)=3/4t+2, find G-1(1)

A:

Q: f(x)=x^2-3x+9 g(x)=3x^3+2x^2-4x-9 find the (f-g)(x)

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.