4) Consider the function F(x) = f f (t) dt . Find F¹ (7). O F(7)-F(2) O f(x) O f(7) Of(7)-f(2)

Q: The function f is defined by f(x) = x-7. Find f (2y). f(2y) = ]

A:

Q: b) Find f(")(x) is f(x) =

A: The derived function is a function f  where f'(x) is the derivative of f at x, is the derived…

Q: Let f(x) = 4x + 3. Determine (f ofo f)(x). (f o f o f)(x)

A: Composite functions: composite functions are the functions substituted inside the other function.…

Q: Consider the function y = (a) Find the x- and y-intercepts of f(x)

A: An x-intercept of a function f(x) is a point on the x-axis at which the graph of the function f(x)…

Q: Let f(x) = - 4x- 1, h(x)= - X- 3. | Find (fo h)(4). (f o h)(4) =

A: Given  f(x)=-4x-1h(x)=-x-3 to find foh(4)

Q: 1. Given the functions, f(x) = and, g(x) a. Find fAg(4)). VT. = Vx. b. Find (g(x)). %3D %3D x+5 c.…

A:

Q: Find F(s). F(s) = £{t(et + e5t)2}

A:

Q: Is the two functions h(t) and g(t), is h-1g-1 (t) = (hg)-1(t)

A:

Q: If y = f(x) in the figure, find the following. y 12 (9, 10) 10 8 (5, 6) 4 2 -6 -4 - 2 4 8 10 12 -4…

A: Let's find.

Q: if f(x) = 3 and g(x) = f(x) – 1 then (f .g)(-3) О а.-3 O b. 6 C. 9 Od. 27

A:

Q: f(x)=2-x/3x+4          1. f(2)  2. f(0)

A: 1) Plug x=2 to find f(2) and simplifyAnswer(1): 0

Q: Consider these functions. 1) Evaluate (f + g)(2). f(x) = 3x² – 5 g(x) = Vx - 2 A) -1 B) 0 C) 3 D) 7…

A: we have the given functions  f(x)=3x2-5 g(x)=x-2 1) (f+g)(2)=f(2)+g(2)…

Q: Let f(x, y) = 6x – 7y + 3. Find the following. (a) f(4, –1) (c) f(-5,-3) (b) f(-6, 1) (d) f(0, 7)

A: Consider: fx,y=6x-7y+3. Find. a) f4,-1 Substitute x=4 and y=-1 into fx,y=6x-7y+3 and solve to…

Q: 4. Evaluate the functionf(x) = x² + 1 and g(x) = x - 4. Find a. (fᵒg)(3) b. (gᵒf)(1)

A:

Q: Use the table to determine Df(g(x))) at x = 3. |1 2 3 4 f(x) 1 f(x) |3 -5 1 4 4 1 3 4 3 2 g(x) 2…

A:

Q: 5. For f(x) = 2x - 1 and g(x) = x² - 2x, find: (A) f(-2) + g(-1) (C) g(2) f(3) (B) f(0) g(4) f(3)…

A:

Q: find 1- 2x f(x). 3 12). f(-2), f). fla), f(-а). f(la — 1)

A:

Q: If f(t) = –3t + 2, then 1. f(4) = f(4 + h) – f(4) 2. h

A:

Q: If f(x) = v(x - 1)/ (x - 9), then the domain of f is given by the interval A. (1, +00) B. (-3, +3)…

A: The given function is  f(x) = sqrt[(x - 1)/(x2-9)]

Q: Let f(x) 1 and g(x) = 4x + 7. Then с — 3 - (f o g)(0) = (f o g)(x) =

A: Given:

Q: Let a, b 0. Find f(100) (a) provided that x³ (a - bx)²* f(x) =

A:

Q: 1. Let f(r) and g(a) 4x + 1. 4 Then (f o g)(6) (ƒ o g)(x)

A: We have to find function

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: 2x-3 Let f(x)= Compute (1 -i/2). (1 – i/2)=

A:

Q: e-X f(x, у) %3D x2 + y2

A:

Q: Write f (t) = 5(7)t in the form f (t) = P0ekt for some P0 and k.

A:

Q: 1 Let f(x) and g(x) = 4x + 5. - 4 | Then (f o g)(6) (f o g)(x) =

A: The solution is given below :

Q: Let f(x) = 1 and g(x) +4. Then (fo g)(æ) (go f)(x) =

A: (f o g)(x) = x/6 (g o f)(x) =(4x -10)/(x-4)

Q: Express the function in the form fog. (i) F(x) = (2r + r*)ª. (ii) F(r) = %3D 1+ VE

A: Answer

Q: B. Given f(x)= 4x + 3, find f(x+h)-f(x) 1. f(3) 2. f(-3) 3. f(a + 1) 4. f(x + h) 5.

A:

Q: 2. State why the function f(z) = 2z²-3-ze²+e-² is entire.

A: Introduction: Every complex valued function corresponds to a power series. The convergence of power…