Two piecewise functions are shown below. -3x for x< 2 h(x) : %3D 4x + 1 for x > 2 S x +2 for x <3 g(x) %3D 3 for x > 2 What is the value of 3h(2)+4g(1)?

Q: At what point the function f(x) = 22 +5x+6 22+a-6 has a removable discontinuity? %3D For those who…

A: This question is related to limits and continuity, we will solve it using given information.

Q: Problem 16: Quadratures Given the integral: L 2.0 – cos(2a)dx The Jacobian of the mapping required…

A:

Q: 9. Given f(x)=4x+3 and g(x)=x, find (g•fXx) 10. Given f(x)=x-1 and g(x)=xr +2x-8, find (gofXx)

A: Question no. 9,Given,            fx=4x+3  and gx=x2

Q: (4x +7)(5– 2x) f(x)= %3D (x-1)²

A: Given data:     The expression for the function is: f(x)=(4x+7)(5-2x)/(x-1)2.   The expression for…

Q: 7x 9. For the given functions, f and g, find (fog)(x) : f(x) = 7x²+4; g(x)=3x+2

A: To find the composite function

Q: Given f(x)=4x - 8 Find f–1(f(4)).

A:

Q: 2x – 3 Зх + 1 If f(x) and g(x) find (g – f) (x). %3D X - 4 x - 3

A: Given functions: fx=2x-3x-4gx=3x+1x-3

Q: = 3x? – 4x + 1 and g(x) = x² – 5x – 1, find If f(x) (f – g)(x) and (f – g)(2). %3D

A: Given,  f(x) = 3x2 - 4x + 1 g(x) = x2 - 5x - 1 To find (f - g)(x) and (f - g)(2)

Q: Consider the following. 4x A(x) x2 - 3x - 4 (a) State the domain of the function. O all real numbers…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Graph the function

A:

Q: I need help

A:

Q: Let f(x) = - 9x + 12 and g(x) = x2 + 6. %3D Find f(5) + g(5).

A: Given that f(x)=-9x+12.       and g(x)=x2 + 6 find f(5)+g(5)

Q: Determine g(x + a) - g(x) for the following function. 8(x) = -4x2 + 3x

A: topic - functions

Q: If f(x) = x² – 3 and g (x) = -x + 3, determine where g(x) > f(x). %3D %3D

A: To determine: Where the gx≥fx. Given: The functions are fx=x2-3 and gx=-x+3. Calculation: Substitute…

Q: Let f(x)=2x-1 and g(x)=x² + 4. Evaluate (gof)(x). (gof)(x) = (Simplify your answer.)

A: fx=2x-1, gx=x2+4

Q: Given f(x)=10 + 5x Find ¹(f(5)). Step 1: Find ¹(x) = Step 2: Find f(5)= Step 3: Find ¹(f(5))=

A:

Q: Subtract the functions: f(x) - g(x) where f(x) = -3x + 6 and g(x) = 4x - 2 h(x) = f(x) – g(x) =…

A: Solution is given below...

Q: Given f(x)=10 + 5x Find ¹(f(5)). Step 1: Find 1(x)= Step 2: Find f(5)= Step 3: Find 1(f(5))=

A: For a function: y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: For f(x) = 3x-9 and g(x) = find the following function 3 %3D a. (fo g)(x); b. (g o f)(x); c. (f o…

A: f(x) = 3x-9 9(x) = x+ 93 a) (f0g) (x) = f (g(x)  = f x+93 = = 3x+93-9= x+9 -9 =x(fog) (x) =x…

Q: Use the functions, f (x) = 2x + 3 and g(x) = –x² + 5x and h(x) = x + 4 to find f (g(h(x))). %3D %3D

A: Given : f(x) = 2x + 3g(x) = -x2 + 5xh(x) = x + 4

Q: If f(x) = x - 3 and g(x) = x² + 4, simplify (f g)(x).

A: We know, (f∘g)(x)=f{g(x)} Gvbhj

Q: Let f(x) = - 9x + 20 and g(x) = x² + 8. Find f(- 5) • g(- 5). f(- 5) • g(- 5) =

A:

Q: Let f(x) = 6x – 10. Find each of the following: %3D f(a) = %3D 2f(a) = %3D f(2a) = f(a + 2) = %3D…

A: We have to find function value

Q: Let f = {(5,3),(8,9),(3,8)} and g = 5x +4. Find f(3) + g(3). %3D

A: Given that f = { (5, 3), (8, 9), (3, 8) } Clearly we can say that f(3) = 8 as (3,8) belongs to f

Q: Let f(x) = -3x² and g(x) = 2x – 6. Find and simplify_the following. | g(f(x)) = b. f(g(x)) =

A: f(x)=-3x2, g(x)=2x-6a) g(f(x))=g(-3x2)=2(-3x2)-6=-6x2-6g(f(x))=-6x2-6

Q: Evaluate the indicated function for f(x) = x2 + 1 and g(x) (f + g)(t - 5) = x - 3. %3D (f + g)(t –…

A: First find the addition of the function (f + g) (x):