2. Give the domains for the following functions where: 1 f (x) = and g(x) = V4 – x 1 (i) (ƒ og)(x) (ii) (go f) (x)

Q: Find the domain of the following function 1 f (x) = 2 + f (x) Vx

A: Given function,                            f(x)=12+x

Q: Find the domain of the following functions a. f(x) = Vx2 - 16 + V36 - x2 1 b. f(x) 2x2+5x-3

A: Domain of the function

Q: Find the (i) domain and (ii) graph the functions a. f(r) = 1- 2x – r? b. f(x) = /=x

A:

Q: Consider the following functions. f(x) = x, g(x) - Vx- 6 Find (fo g)(x). Find the domain of (fo…

A: Given functions are fx=x2 and gx=x-6. To find: fogx and the domain of fogx. Solution: Finding fogx.…

Q: Use the graph of the function f shown to the right to find f(0), f(1), and f(2). CELE f(0) =

A: This question can be solved using the concept of locating points on the graph.

Q: c) f (x) = v9 – 3x

A: See the solution below.

Q: fOo)=Sinx-41 Cos x 1X-1 cos X (x)

A:

Q: Let s(x) = 4 – x and t(x) = x² – x – 12. Find the following function value. (s + t)(4) 11 Need Help?…

A:

Q: 1. Given the function S(a) = Find (a) all the a and y-intercepts,

A: The solution is given below in the next step: Also in step 3 graph is provided for better…

Q: 1 g(x) = /3 — х

A:

Q: Given the one-to-one function defined by f(x) = Vx – 4 + 1- write an equation for f -1(x).

A: The given one-to-one function is To find the inverse of f(x), replace f(x) by y. Now interchange…

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

A:

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

A:

Q: Find the function g(x) which is obtained by reflecting the graph of f(x) about y axis and moving 2…

A: solution

Q: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

A:

Q: 1. Find the domain and range of the function. f (x) = v3x – 2

A: Topic- range and domain of function

Q: For f (x) = x² + 6 and g(x) = V1 – x find the following values. a. (f + g)(x)

A:

Q: dy Solve the differential equation y -dx

A: For solving this question, We know the basic of integral; and Product Rule in logarithm In this…

Q: function. You can see that this function does not have an inverse because it is not one to one. The…

A:

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

A:

Q: 3. Let f(x) = x¹/3 and g(x) = 2x² + 5x – 1. A. Write out the equations for all four functions: ƒ(x),…

A:

Q: 5. Find the domain and range of the following functions algebraically: (a) y = 1+ v7x – 2 (b) y = (x…

A: a) y=1+7x-2Domain:- Domain is the set of all value of x by which functiion is define.Range :- Set of…