The domain of the function f(x) V2x+4 %3D is Зх-12 a) {x/x 2 4 and x + 2} b) {x/x 2 2 and x * 4} c) {x/x 2 2} d) {x/x 2 -2 and x + 4} Select one: O (c) (a) (d) (b)

Q: What is (go f)(x) if f(x) = 3x – 1and g(x) = 4x? + 9? %3D %3D (go f)(x) = 24a2 – 25 O (go f)(x) =…

A: note: (g o f) means g(f(x)).

Q: Let f(x) = 3x2 – 2x + 6 and g(x) = 7x-4. ldentify the rule for f+ g. %3D %3D O A. 3x2 + 7x + 10 O B.…

A: Given:- Let f(x) = 3x² – 2x + 6 and g(x) = 7x-4. To find:- f+g

Q: find domain V2 + x 65. g(x) 66. g(x) 3 - x 2r2 + x - 1 67. g(x) = V – 6x 68. g(x) = Vx² – 2x – 8

A:

Q: F(x)=2x^3 and g(x)=-3x^2 +1, Find a)(fog)(1) b)(gof)(-1) c)(fof)(2) d)(gog)(-2)

A:

Q: Minimize F = 36x2 + 36y2 with xy2 = 16

A: Given EquationF=36x2+36y2     ....(1)xy2=16                  ....(2)y2=16xSubstitute y2 value in…

Q: (b) Let f(x)=√x and g(x) = 2x+5, find: (1)fog(x) (2)gof(x)

A:

Q: Use f(x) = 4x – 3 and g(x) = 3x2 + 2 to find gof %3D %3D

A: Given : f(x) = 4x - 3g(x) = 3x2 + 2

Q: What effect does the “k” in F(x)= ^3 √x + k have on the graph of the cube root function if k>0 and…

A: Consider the given function and plot the graph for k = 0. Given, fx=x3+kFor k=0, fx=x3

Q: snip

A: Given polynomial function is: fx=x7+6x5-x4+x+2 We will check whether 23 is a zero of f(x).

Q: b. f(x) = x - 3 x² – 9 2-

A: The given function is,   f(x)=x-3x2-9

Q: 4. Use f(x) = x² - x, g(x) = 2x - 1 and h(x) = x + 3, determine g(f(x)). %3D %3D

A: This question can be solved using the concept of composition of function.

Q: Q 4. (a). Show that fog = 4x² - 1, if ƒ(x) = 4x – 5 and g(x) = x² + 1. (b). Show that gof = x + 4\x…

A: Given, f(x)=x+2,g(x)=x2+6 To show: gof=x+4x+10 Solution: f(x)=x+2,g(x)=x2+6 We know,…

Q: Differentiate   f(x) = (4x3 + 1)2   using the product rule.

A:

Q: Questlon 4 of 10 f(x) = + 2 g(r) = 3x2 – 5 %3D | Find (ƒ - g)(x). O A. (f · g)(x) = 3x + 10 %3D B.…

A: Ttt

Q: 4. Differentiate using first principles. f (x) = -3x² + 4x + 6

A:

Q: Let h(x)=−2x2+x+4x2+4x−1, what is h′(−5)?

A:

Q: Differentiate two ways: first, by using the Product Rule; then, by multiplying the expressions…

A:

Q: What is the domain of y = In (x² – læ 1а — 6)?

A:

Q: group studies tides and records the function 1.5sin⁡(π3(x−8))+4.25, with time in x hours. How many…

A:

Q: 5 Find the domain of y = Vlx + 5| – |x – 3| + - - Vx2-9

A: Given function :

Q: ²+6x +8 a. f(x) : x + 2

A: I am attaching image so that you understand each and every step.

Q: show that flzi2)= f (2)f(2).

A:

Q: . The function f(x, y)= 8x' - /4x* + 3y* is homogenous in x and y of degree -. The function f(x, y)=…

A: Here we have to find the degree of homogeneous function

Q: find the concavity... f(x)=xsqrt(9-x^2)

A: To determine the concavity of the function f(x).

Q: 3. For f(x) = 15x²-3 16x²+9x+8 As x → ∞, y → || As x →∞, y →

A:

Q: 4. Find ()(2) if f(z) = =+ 2 and g(x) = x2 +4x + 4. %3D

A: We are given fx=x+2 and gx=x2+4x+4.We need to find fgx.

Q: y = C₁e⁻³ˣ - 2c₂e⁻³ˣ

A: differential equation

Q: 32.) If f(x) = 3xr + 2 and g(x) = 2x² – 3, find 6f(-2) + 7g(1). %3D %3D -

A: We are authorized to answer one question at a time, since you have not mentioned which one you are…

Q: Find fAt – 3) for f(x) = 4x² – 8x + 4. %3D | 412 – 32t + 64 64 O 412 – 32t – 64 - 412 + 32t + 64

A: First option is your correct option.... Put the (t-3) in the place of x in the function and just use…

Q: Calculate the real values of x and y such that (x+y)3 is bigger than 8?

A: Given, x+y3>8

Q: x2 - 4x if x 4 f(x) = x2 - 16 a = 4 %3D if x 4

A:

Q: Find (gof)(x) if f(x) = 4x and g(x) = 3x+6

A:

Q: B. Qurfient Rule ) f x)= x² 3x²

A: fx=x3-3x2x

Q: 2 Let f(x) = V5x² + 4x + 8 f'(x) = f'(3) =

A: Given : fx = 5x2+4x+8

Q: f (x) = 3c³ -3x² + -3 at x= - 1

A:

Q: Date ! الموافق find the equatlon F(X) 4x + 6 X- 6x -5 ab 2 2 F(X)_4x?

A: The given function is:f(x)=4x2+6x2-6x-5To find the equation of tangent line at x=-6

Q: Find (f – 9)(x) if f(x) = V16z4 and 9(ax) = 3a² – 3x – 5. O (f – 9)(x) = x² + 3x + 5 O (f - 9)(m) =…

A: Given f(x)=16x4g(x)=3x2−3x−5

Q: Calculate R5 for f(x) = 4x² + 8x over [-1, 1].

A: The given function is, f(x)=4x2+8x The interval is [-1,1] that is, -1,-35,-35,-15,-,15,15,15,35,35,1…

Q: 4. For f(x) = 3x² + 5 and g(x)=7x-2, %3D %3D

A: answer is in next step

Q: 21. If f(x) = 2x - 1 and g(x) 3x + 5, what is f(g(5))? %3D %3D

A: Given, f(x)=2x-1 g(x)=3x+5 f(g(5))=?

Q: 7. Use f(x) = -2x + 1 and g(x) = x² + 3x + 2 to find (f8) (2). %3D %3D

A: We can solve it as below

Q: 1.3 Verify that f d = xp= x2V1+ x2 V1+ x² +c using the method you were taught in this course.

A:

Q: I need f(1) f'(1), f"(1)

A: (a)  f(x) = x4/(x2 -1)Let us first find f'(x) and f''(x)

Q: The real part for the function is .ƒ(Z) = 5 Z² – 3Z 5 x^2-5 y^2 O 10 xy-3y O 5 x^2-5 y^2 - 3x O 10…

A: Given.

Q: Find gf(2) when f(x) = 6x² and g(x) = 4x+4 %3D %3D

A:

Q: 2/ Find domain of y = x2-7x+10 x2–3x-5

A: on solving this we get

Q: In(x² + y² – 9) V25 – x2 – y? - Sketch the domain of f(x, y) -

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: 3s Use the convolution theorem to find L-1{

A: