Find the range of the function x + 1 f : R → R,f(x) = 2х — 3

Q: Find the domain of f(x) = Vx + 3 + Vx - 1.

A: Given that the function f(x) = x+3 +x-1 To find the domain of f(x).

Q: Consider the function g(t) = 2t2 – 2t.

A: g(t) = 2t² −2tdifferentiate with respect to t,g'(t) =4t -2 Therefore g'(t) =0⇒…

Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

A:

Q: Find the directional derivative of f at the point (1,2) in the direction of the vector v = = (1, 3).

A:

Q: What does is mean for two functions f(x) and g(x) to be orthogonal

A:

Q: 2. Let f a function such that f (-2) = 6, f (0) = – 3, ƒ (3) = 0. Give the coordinates of three…

A: Select the values of x such that  (x + 4) becomes the number for which values of  f(x) are given.

Q: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…

Q: Find the domain of the function f(x) = V-a? 3x + 4

A:

Q: Find f such that f′(x)=8x​, ​ f(4​)=47.

A: Given, f′(x)=8x​,​ f(4​)=47.

Q: 2. Determine fx(x); x² + 1 f (x) = 3x

A:

Q: Can f(z) = | Re (z2) | + i.Im (-z) be derived from the function z=0? Show it.

A:

Q: Find the conjugate function for function: f(x) = alxl, a > 0, x € R

A: A function is a relation in which each and every element in the domain has a unique image in the…