Let f(x) = - 3x +2 and g(x) = x – 4. Find the difference (g - f)(x). %3D

Q: f(x) = V2x + 6

A: Given function is, f(x) = 2x+63=(2x+6)13 Tangent line of the function at x = 1 is given by,…

Q: Find (f g) (x) = f (x) = x² + 5æ , g(x) = %3D -

A:

Q: Find the number of units x that produces a maximum revenue R. R = 171x2 – 0.06x3 X = units

A:

Q: f(x) = 7x + 10 g(z) = + 2

A: Given query is to find indicated function value.

Q: Find f' (a) for 13x f(x) = 9x + 8 f' (a) =

A:

Q: if d/dx(f(3x^2))=7x^3 , calculate f'(x).

A:

Q: Find (fog)(x) where f(x)= /x-15 g(x) = x² + 2x

A: To find fog(x)

Q: 3. f(x) = /x, a = 4 =D4

A: Solution: The objective is to find the linearization of the given function

Q: DERIVE THE FF. FUNCTIONS: y.x(x-) 4x²+ 3x+2 %3D t.

A:

Q: Find the antiderivative of f(x) = x³ – 6x +7

A: fx=x3-6x+7 to find the antiderivative, we need to take an integration Fx=∫ fxdx

Q: Find the number of units x that produces a maximum revenue R. R = 204x2 − 0.08x3

A:

Q: 16. f" (x) = x² + p3 %3D

A: The given function is f''x=x2+x3. The function f(x) can be obtained by integrating the given…

Q: The antiderivative of the function f(x) .2+9x is. 8.

A: We use basic integration method to solve this Question

Q: Find the relative extrema. x2 f(x) = 16- — х2

A: Given: f(x)=x216−x2 Function achieves relative maximum or relative minimum (relative extrema) at…

Q: f(x) = 5x

A:

Q: Complete the table (x) $'(x) f'(x) = 12 e3x f(x)

A: Here, to complete the given table.

Q: Find f'(x) for f(x) = e2xsec-1(2x)

A:

Q: e2x (x3 - 2) x(3e5x +1) 52. f(x) = %3D

A:

Q: find f [g(x)] and g[f(x)] .

A: Given function are: fx=-8x+9gx=x5+4 The objective is to find f [g(x)] and g[f(x)] .

Q: d. (f/g) (x) f(x)=3x+4; g(x)=2x-3

A:

Q: 5. f(x) = 2x + 3

A: First write the formula and then put all the values and simplify.

Q: Find the domain of f

A: We have to find the domain of the function: fx=x-2x-6 We know that for any square root function y=fx…

Q: What is the domain of y=ln(x^2+3x−18)

A: Consider the given function

Q: Find f' (x). i f(x) = 3x10 csc-1

A:

Q: Find the antiderivative of f(x)=x3−6x+7

A: Given: f(x)=x3-6x+7

Q: 4. f(x) = x² + 4x- 3 a. b. C. d. e. f.

A: The function is f(x)=x2+4x-3

Q: f(x) = 8Vx + 1; g(x) = x² + 9 %3D

A: Given: - The functions are, f(x)=8x+1 and g(x)=x2+9 To find: - The value of f∘g and g∘f

Q: Determine fx (x); f(x) = x² · e*/2 %3D

A: d(uv) = udv + vdu

Q: consider the equation f(x) = 2x2 - x Find the net change between x = 3 and x = 6

A: Given equation:

Q: Find the range of f(x)=x-5x+6. O [-1/4, 0)

A: The given function is:fx=x2-5x+6To find the range

Q: Vx – 6 f(x) x + 2

A: Given f(x) = x-6x+2  To find the domain in interval notation.

Q: Find the function f(x) by solving the initial value p 3. 3x2 f'(x) = -(1, 1) 4

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: G F

A: We are given the following figure.   We know that…

Q: e* +x² – 2x + 4 f(x) = %3D 6.

A:

Q: 4 f(x) = x2 + 16

A:

Q: Given f(x) = 5x - 3 and g(x) = x-, find g(f(2)). %3D

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: f(x) = (x² – 2x + 2)e*

A:

Q: f (x) = x* + 2x %3D

A: given isfx = x4+2xdifferentiating both side with respect to xdfxdx=ddxx4+2x

Q: f (x) = 3x^3

A: Given, f(x)=3x3

Q: For what values of x is y = 150x - 2x3 an increasing function?

A: For the function to be increasing the derivative of the function should be greater than 0

Q: Find the extreme values of f(x, y) = x² + y² .

A: The given function is f(x,y)=x2+y2. Find the extreme values of f(x,y)=x2+y2 as follows.

Q: g(x)=6x-x² h(x)=x(vx+1)

A: Consider the given figure as

Q: Let f(x):4x1 and gx):3x+x find the Value of X for Which (fog) (x)=(30f)x

A:

Q: The antiderivative of the function f(x) = .8 + 10x3 is. %3D

A:

Q: Find the most general antiderivative of the function f(x) = 72° – 6x³ + 3x?.

A:

Q: Find flg(x)] and g[f(x)]. 8 f(x) = 4x2 – 7; g(x) = %3D %3D flg(x)] = |

A:

Q: f(x)%3D3X +10 A. x = 5 B. x =0

A: the given function is: fx=3x+10 A) x=5 B) x=0 we have to determine if the given function is…

Q: 10) f(x) = V3x – 1

A: Explanation of the solution is given below..

Q: 5. For f (x) 3x 5 and g (x) 6 4x, find (fog) (x)

A: As per guideline we have to solve the problem

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.