Find the Green's function G(t,t') for each of the following problems. A. * + 9x + 20x = k(t), x(0) = x(0) =0 B. x + 4x + 4x = k(t) , x(0) — х(0) — 0

Q: -3x 26. If f(x) = {0 2x + 1 if x -1 find: (a) f(-2) (b) f(-1) (c) f(0)

A: (a) To find: The value of function f-2. Given: The function is fx=-3x       if x<-10…

Q: III. Find f(g(x)) for each of the following: 11. f(x) = 2x +7 g(x) = -5x - 1 12. f(x)=x²-1 g(x) =…

A: Given query is to find indicated composite function.

Q: If f(x) = V2x and (fg)(x) = 2x, find g(x).

A: A function is a relationship between set of input values and output values. The given fx is a…

Q: If h ( x ) = 3 x 2 − 2 x, then find h (5).

A: Let there is a function fx to find the value fa we need to substitute x=a in the expression.…

Q: If f(x)=−x and g(x)=−x, then f and g have identical graphs.

A: The objective of this question is to determine whether the graphs of the functions f(x) = -x and…

Q: 3.lf g(x)=x* – 2x³ – 7x2 + 8x + 16, find f(3).

A: Given that, fx=x4-2x3-7x2+8x+16 We have to find f(3).

Q: If F(x) = (x − 1) 2 + 1; Evaluate F′(−1), F′(0), F′(2)

A:

Q: Consider the functions, h(x) = 3x – 7 and k(x) = . b. Find h(k(x)) X+7 | a. Find h(k(- 2)) c. Find…

A:

Q: 6.Given f(x)= 3x – 2 and g(x)= x2 – 5x, find f(-1)+g(2)

A: The given functions are: fx=3x-2 and gx=x2-5x To find f-1 replace x with -1 in fx=3x-2 and similarly…

Q: Find f(x) and g(x) such that h(x) = (fog)(x). h(x) = (9x + 9)² Choose the correct pair of functions.…

A: The given function is:h(x)=9x+92

Q: if f(x)+g(x)= 3x +2 and g(x) = x - 1 then f(x)= %3D а. 2х+3 O b. 3x+2 О с. 3х-2 O d. x+4

A: Given,f(x)+g(x)=3x+2g(x)=x-1f(x)=?

Q: = 21a and g (x) 4, then (gc 21 4.00

A: We have to choose the correct answer from the given option according to the given condition

Q: 2. Find (fo g)(x), (g o f)(x) and the domain of each new function. a. Let f (x) = 4x² – x + 10 g(x)…

A: Here, we have given some functions and we have to find composite function and domain of these…

Q: Find f-1 (x) for f(x) = 7x + 4. O 1-²=-²/x-1/ O f¹(x) = -7x+4 O---- O f-¹(x) = -7 x - 4

A: For finding the inverse of a function replace all x with y and all y with x and then solve for y.

Q: If f(x) = 2 + 3x – 4x², determine the value of the dependent variable f(5) – f(3). Show your work.

A: We can solve the problem by putting the value 5 and 3 in the given function.

Q: r {(2) = In(V32" + 5x° + + 6), find f'(r). Use exact values. If

A: Given function is fx=ln3x6+5x3+67      =ln3x6+5x3+617=17ln3x6+5x3+6

Q: If If h (z) = (x+ 4) – 6, find h(-5) h(-5)=

A: The polynomial is given by h(x) = x+42 - 6 To evaluate : h(-5) = ?

Q: If f(x)=−x and g(x)=−x, then f and g have identical graphs.

A: The objective of the question is to determine whether the graphs of the functions f(x) = -x and g(x)…

Q: The functions g and h are defined by g(x) = 4x+1/3x-2 and h(x) = 5x – 2 a. Calculate g(0) and h(1/5)…

A:

Q: Let f(x) = 6x2 – 8x + 10. Which of the following functions is most like f(x)? d)k(a) = 3a? – 8a + 10…

A:

Q: Find f(x+h)-f(x) h 2 f(x) = 5x + 14x-13 OA. B. 10x+14+5h 2 10xh + 14h + 14h² C. 10x+14 OD. 5x+6+ 10h

A:

Q: Find the indicated outputs for f(x) = 4x² - 5x. f(0) = f(-1)= f(2)= h

A: