1. Given f(x) = 2- 3x and g(x) = 2x + 5x – 1, find the following values. a) f(-3) b) f(0) c) -2g(3) d) g e) f(3x)

Q: 3. Given that f(x) = 3x +3 and g(x) = 2x -6. Determine g[f(x)] %3!

A:

Q: 3 – x2, 0<x < 1 | f(2) dr, where f(x) = 1<r< 2.

A:

Q: ) = x² + y² - 8x - 6y subject to the

A: Given that fx,y=x2+y2-8x-6y. First we have to find the extreme point on the domain given in the…

Q: If f(z) = 7(x – 1) + 8 , what is the value of f(1) ? %3D

A: Given : f(x) = 7(x-1) + 8 To find : f(1) = ?

Q: 1. If f(x) = x-1 and g(x) = 2x, what is g(f(x))? c. 2x -1 %3D а. х-2 b. 2х-1 d. 2x-2

A:

Q: Find the particular solution determined by the given condition 314 f'(x) = 3x -6x; f(1) = -6 II

A:

Q: If f(x) = Jx-3 then f(-3) + f(12) is

A: We can make it easier for you

Q: 2. If f(x) = -x² +2x+7 and g(x) = 5x+9, find f(x) +g(x). A x +7x+16 B x - 7x-16 C 10x+63 D -x +7x+16

A: We need Addition operation on these two functions

Q: 13 Given that f(x)= 2x+1 and h(x)=x, find (h o f)(3).

A:

Q: 10. If f (x) = 2x(1+In(2x)), and f'(c) = 6, find c.

A: Given function is fx=2x1+ln2x. Product rule of differentiation states that: ddxuv=vddxu+uddxv…

Q: #20

A:

Q: If f(x) = (x² – 2æ) (z³), what is f'(x)? of() - (2г* — 1)г? + z* (2? — 2) o f (e) — (2г — 1)3г? +…

A:

Q: If f(2) = 15 and f (x) > 2 for 2 s x s 4, how small can f(4) possibly be?

A:

Q: 7. Iff (1) = 5, which could be the equation for f (x)?

A:

Q: What is the value of f(1) - 16B in 1 x³ Inx dx = f(x) ( (1/4) Inx - B) + C? 0 2

A:

Q: If f(z) = 5.7x +6.9, then, f(x+h) is:

A: Given : fx =  5.7x+6.9

Q: 9. If f (x) = e3*, then (f-1)'(x) = %3D 2 А. e3x e 3x 1 С. 3e3x 1 D. 3x B.

A: Given function is fx=e3x. To find: f-1'x Solution: To find inverse of the function, we will replace…

Q: 2. 1. f (x) = x° – 4x – 5 g(x)3Dx5 a) Find(-)æ x + 5

A: Consider the functions

Q: 2 f(x) = √4-x² [-1,1] n = 4 a = -1 right left & middle hand rule b=

A: The given function is fx=4-x2 over the interval -1, 1. The number of subintervals is n=4.

Q: 3. Given f (x) = x2 - x + 16. If f (w) = 12, what is the value of w?

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

Q: 6. 9. 6, If f(x) dx = 31 and g(x) dx = 18, find [4f(x) + 5g(x)] dx.

A:

Q: 6. If /f(2)dæ = (x + 5)*eª + ln(|æl) + C, what is f(x)?

A:

Q: 17. If f(x - 1)+ 2/(1 — х) %3 3х, what is f(x)? А) -Зх + 1 В) х—3 С) -х +3 D) -3x – 1 |

A:

Q: 1. Suppose: f(x) = 2x + 5, g(x) = - x². a. Find g 8(S(x)) 'b. Is g(f(x)) one to one? Justify your…

A:

Q: Compare the values of Ay and dy if f(x) = x³ + x². 2x + 1 - æ is changes from 2 to 2.05.

A:

Q: 20. f(x) = In x + 2e 3x2

A: Topic = Derivative

Q: (9x-10) where "a" is f (x) = -i F (x) = 30

A: Follow the procedure given below.

Q: 1. Given f(x) = -2x and g(x) = x - 7, find g(f(2)). *

A: f(x)=-2x g(x)=x-7

Q: f(x) = 15- (3-t)(r - 8t + 7)

A:

Q: 2 Given that f(x) = 4x – 7 and g(x) = 4 – a?, calculate (a) f(g(0))=| (b) g(f(0))=|

A: Answer(a): The given functions are: fx=4x-7 and gx=4-x2. Then, the composition function is given as:…

Q: If f(x)= x – 4 and g(x)= Vx – 2; | f which of the following is equal to (x)?

A: Rational function value

Q: 4) Find the value of the function f (x) given in the table below at the point x = 3 by Aitken…

A: Aitken method is used to find out the interpolation value of the function f(x) at a particular x…

Q: 3 When |x Vx + 4dx was evaluated, the results can be express as F (x) == (x + 4) (x+ 4)ª – 7 (x +…

A:

Q: is given by: If f(x, y) then 8(8x-4y) '

A:

Q: If f(x)=5x-1, g(0)=2, g'(0)=4, and h(x)=f(g(x)), then what is h'(0)?

A: Given that h(x)=f(g(x)) Using chain rule we get: h'(x)= f'(g(x))g'(x) We plug x=0 So, h'(0)=…

Q: 7. Given f(x) = x² – 5x ,

A:

Q: 2. If f(x)=x² – 5x find, a. f(y? + 1) b. f(z+1)-f(z-1)

A:

Q: Let f(x) = · – 3(x + 4)"(x – 4)1º(x + 5)"| |

A: f(x) &gt; 0 can be solved using simple algebraic properties

Q: s given by: (A(x² – 2x + 2) f(x) = ЗА 3 <x< 4 otherwise ere A is a constant

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 8 3) If f(x)= 2 (x-1)*, then f (2) (1) = Σ k=0 a) b) 2 c) 4 d1

A:

Q: What is (fo g)(x) if f(x) = 3x – 1 and g(æ) = 4x2 + 9? O (fo g)(2) = 36x? – 24x + 13 O (fog)(x) =…

A: Topic- function

Q: Consider F = (4x°y+0, 9x³ + 5y+). Then div(F) = Aæ²y!0 + By³. What is the value of B?

A:

Q: Suppose F(2) = 1, F(8) = − 1, and F'(x) = f(x). - 10 [ f(x) dz = 10

A:

Q: -8x Since f'(x) then (x2 - 4)2' (x? – 4)>(D) - (-8x)[2cx? – 4)(Ox)] _ 8 x2 f"(x) (x2 (y2

A:

Q: 2. Given the function y = x²[2f (x) + 3x]*. If f (1) = -1 and 54 for x = 1, %3D determine f'(1).

A:

Q: 3. For f(x) = x - 10, find the solution to f(x) = 5.

A: f(x) = x - 10 f(x) = 5

Q: 2. If h(x) = 4 +3f(x), where f(1) = 7 and f'(1) = 4, find h'(1). %3D

A:

Q: 12 Given that f(x) = 5x +4 and g(x) = 7-z, calculate (a) f(g(0))= (b) g(f(0))=

A: Given that, f(x)=5x+4g(x)=7-x2