Let f, g: R → R defined by if x < 1 {2x – 1 if x> 1 f(x) = %3D and g(x) = 3x + 2. %3D fog and go f.

Q: 6. Let r(x) = 1 + 3r– 10 and s(x) = x- 2. Build a new function, 1(x), for which 1(x)=| State any…

A:

Q: Suppose that g is a continuous function. Find the general solution of y" – y = g(t).

A:

Q: If f : R → R is defined by                      f(x) = x2– 3x + 2, find f (f(x)).

A: Given,

Q: If f(x) = x + /2 – x and g(u) = u + v2 – u , is it true that f = g?

A:

Q: Suppose that f(x) = βx2 − 3     if x ≤ 2                                βx + 2       if x &gt; 2…

A:

Q: Let fx (x) = x +b, x ∈ [−2b, 2b]. For which b is fX (x) a pdf?

A: Given,  fx (x) = x +b, x ∈ [−2b, 2b] To find the value of b for which fX (x) is a pdf.

Q: The one-to-one functions g and h are defined as follows. g = {(-8, 3), (-2, 7), (2, 9), (7, 4)} h…

A: given that                                               g=(-8, 3), (-2, 7), (2, 9), (7, 4)h(x)=3x-2…

Q: Determine the domain 1 1.) f(x) z+5 2.) g(z) = Vz+5 3.) p(z) 2– 6x

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: 8 Describe the long run behavior of f(x) = x° – 5x* + 5æ° – 1 - - As x → - 0o, f(x) → ? As x → 0,…

A: Given  f(x) = x8-5x4+5x3-1 We have to find the end behavior of the function.

Q: 2 Let ƒ(x)=x³, g(x)=x³. If it holds (fog)(x)= (gof)(x)?

A:

Q: Graph the function h: Z→Z, defined by h(x)=| 3

A: Graph of the function

Q: 1 If (x, y)= find f, and f,. Vx? x²+y²

A:

Q: 26. Let f (x) = vx - 1 and g(x) = x² – 4. A. Find (fog)(x) and (gof)(x). B. Find all real values of…

A:

Q: Let f(x) and g(x) be defined as follows: f(x) = 2x+ 1, g(x) = /x-3 What is (fog)(x)?

A:

Q: The interval over which the function f(x) = becomes continuous is %3D x+8 (-3, 0) (-3, 3) (-00,…

A:

Q: Which of the following is not a function for all values of x? o a) f(x) = 6x %3D O b) f(x) = 2x + 3…

A: fx=6x2, fx=2x+3, gx=4x2, fx=-x2 are all functions for all values of x.

Q: 6. Where are the following functions di: x+2 a) f(x) = %3D V(x+2)x

A:

Q: 3. (10 points) Determine the value of C such that if r +0 f(r) := V16 + 3x – 4 if r = 0 will be a…

A:

Q: 9.Find f[f(10)], if f(x)= Vx – 2 and g(x)= x³ + 5.

A:

Q: Determine c and d so that f(x) is continuous if 1 x2 + c x + d x -2 C = II

A: Given query is to find the value of c and d.