If f(x)=3In(x)-1 and g(x)=e2, then f(g(5))=  a) 6.83 b) 12 c) 14 d) 45.98 e) 568.17

Q: Find f"-1) if f3) = (3x + 1)° . %3D O a) 9 O b) -27 c) 36 O d) -9

A: Given function is f(x)=y = (3x+1)3  We have to find f'(-1)

Q: In each part, use the given information to find A. (7A)-1 (b) (7A) -3 [] -2 = (d) (/+2A)-! = 2 4 5

A:

Q: Given f(x)=2+3x-x² a) (fg)(x) and g(x)=2x-1 evaluate each of the following. b) (fog)(x) c) (gof)(x)

A: The given function is To find:-

Q: Let g(x)=31-x. Compute: a) g(2.3) b) g(2) c) g(-1)

A: Given that

Q: Given the functions f(x) = x? - 3 and g(x) = 2x + 1, find... a) f(g(x)) b) g•f(x) c) d) gog(x) e)…

A:

Q: Let fix)= 2x-3 and gix)=x?+4x-4 . Evaluate: f(-3)= gt2)= f(a-2):

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

Q: 5. Let f(x) = 2x³-x² +7, find: a) ƒ(2) b) f(-5) c) f(a)

A: “Since you have posted multiple questions with multiple sub parts,we will provide the solution only…

Q: Vhat is the solution to the equation (x + ) = 1.04? 9. 1) 0.4 2) 3.06 3) –0.48 4) –0.7093

A:

Q: 6. Let f(x)=√14-2. Answer the following: a) f(5)= c) f(13) = b) f(-2) = d) f(18)=

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

Q: 5. Given Ho) ==Ba E4 2) Finy Alxth) cand simplify 6) Find Az th)- f2) and simplity

A: topic  -  function and limit

Q: Find the coordinate vector [x]B of the vector x relative to the given basis B. 23) b1 =| b2 and B =…

A:

Q: Given that P = (3 -4) and Q = (-2 1)                          (7 6)                ( 0 5) Calculate:…

A: To Calculate:a) ½(P)b) 1/3(Q)c) 1/2(P) + 1/3(Q)d) ½(P) – 1/3(Q)e) 1/3(Q) – ½(P)

Q: 2 8. 10 Which function is represented by the graph? A) f(x) = 2x + 6 B) f(x) = -2x + 6 C) D)

A: We have to check the graph

Q: For u(x) = 4x2 - x + 5 and v(x) = 2x + 4, which of the following is correct? a) (u – v)(2) = 11 b)…

A:

Q: 10) g(a) = 4a; Find g(2a)

A: Substitute 2a in place of a

Q: If RS = 32.5 and QS = 65.8, find QR. %3D R

A:

Q: ecall E(B) = 15. Show E(B) = 105 and find E((B₁0 - B7)).

A: Solution

Q: Use the following matrices and find an elementary matrix E that satisfies the stated equation. =( A…

A: The given matrices are:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.