with f(t + mT) = f(t) and m is an integer. Also, V₁ = 3, T = 1, T = 2.

Q: Find the requested function and state the domain. 6 (g o f)(x) for f(x) = and g(x) = 2-x 6

A: Given : fx = 6x6gx = 2-x

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Q: Part 1- An accountant purchases a T-bill with a face value of $5,000 for $4,925. If the term of the…

A: Sol:- Part 1: The formula for simple interest is: I = P * r * t where I is the interest earned, P is…

Q: If  f(x) = 3x + 1  and g(x)=4/x.find f(g(x)) and g(f(x)).

A: Given f(x)=3x+1 and g(x)=4x we have to find f(g(x)), g(f(x))

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A: I have given the answer in the next step. Hope you understand that

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A:

Q: If the function f: R→R be defined by f(x)=x² +5x+9,Find f'(8) = and f'(9).

A: The given function is fx=x2+5x+9

Q: If f(x)=mx3+gx2-x+3 is divided by x+1, the remainder is 3. If f(x) is divided by x+2, the remainder…

A:

Q: if f(x) = 3 and g(x) = f(x) – 1 then (f .g)(-3) О а.-3 O b. 6 C. 9 Od. 27

A:

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

A:

Q: find the derivative of the func N 4+22

A: Step 1:Step 2: Step 3: Step 4:

Q: Find the derivative of the function. (3x +5) f(x) = In (7x + 5)*(2x+ 8) 14 2 O a. 3x +5 + 7x +5 2x…

A: We have to check

Q: If f (x) =ax³+ bx² , determine a & b so that the graph of f will have a point of inflection at (1,2)

A:

Q: Suppose f is a real function satisfying f(x + f(x)) = 4ƒ(x) and ƒ(1) = 4. What is ƒ(21)? f(21)=

A: Suppose f is a real function satisfying f(x+ f(x))= 4f(x) and f(1) = 4, what is f(21)?

Q: If f(x)=(m-4)x+7 is a constant function m =?

A:

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A: To find f(g(t))

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A:

Q: what should n be if f(x) = Xn defineof a polynomial function?

A:

Q: If f(x) = (x – 3)² +1, what is f(6) ? O -2 О 10 О 16

A:

Q: If f(x) = ax, show that f(A + B) = f(A) . f(B).

A: given: fx=ax we have to show that f(A + B) = f(A) . f(B)

Q: Evaluate (f− g) , (1) and (3f + 2g) , (1), assuming that f , (1) = 3 and g , (1) = 5.

A:

Q: If Ax) = x² + 3x – 2 and g(x) = X+2 then g(f(-1)) is equal to 6.

A: The objective of the question is evaluate the value at the given functions of composition.

Q: Show that lGl =20 , so G is not simple

A:

Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find 1. h[f(1)] 2.…

A: Given that f(x) = {(- 2, 1), (1, 4), (2, 5), (3, 6)} g(x) = 6 + 4x h(x) = - x 2 + 2 1. h[f(1)]/7 =…