PROBLEM: Find f(kT) if F(z) = z(z + 1)(z + 2) (z - 0.5)(z-0.7)(z- 0.9)

Q: ) Find the domain of (i) f (x) = 1+ x? (ii) 8(2)= /4 – z?

A: given function f(x) = 1+x2

Q: -3x 26. If f(x) = {0 2x + 1 if x -1 find: (a) f(-2) (b) f(-1) (c) f(0)

A: (a) To find: The value of function f-2. Given: The function is fx=-3x       if x<-10…

Q: If g(t)=-2t4+3t2+5 find g(4)(0)= g(5)(0)=

A:

Q: For f(x) = Vx+5 and g(x) = x + 8, the domain of x-9 x is?

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Q: 4. Find (f-g)(x) if f(x) = -2x + 4 and g(x)=x²-3x+5. O (f-g)(x) = -x²+x-1 O (f-g)(x)=x²-5x +9 O…

A: Topic - Functions We are givenf(x)=-2x+4,g(x)=x2-3x+5

Q: If f(x) =Vx- 4x + 19, then what is f(1)?

A: We first find f'(x) using the power rule and chain rule.

Q: If f(n + 1) = f (n) + 5 and f (1) = 100, what is f(4)?

A:

Q: 3.lf g(x)=x* – 2x³ – 7x2 + 8x + 16, find f(3).

A: Given that, fx=x4-2x3-7x2+8x+16 We have to find f(3).

Q: Find g o f if f(x)= 1/x+3  and  g(x)= -2/x and state the domain: I set this problem up as follows:…

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Q: Consider the functions, h(x) = 3x – 7 and k(x) = . b. Find h(k(x)) X+7 | a. Find h(k(- 2)) c. Find…

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Q: If f(1) = 4 and f(n) = f(n – 1) + 3 then find the value of f (4).

A: Given f(1)=4, f(n)=f(n-1)+3

Q: 3. Solve f(g(-2)) if f(x): and g(x) = 8 + 5x 3 + 2x

A:

Q: f f(x) = 4x + 5, what is the value of fl-3)? 1) -2 (3) 17 2) –7 (4) 4

A:

Q: (A) Evaluate f (4r - 5) (4/E+4r) dr. dy (B) Find if y =| + 3x - when z = 1 %3D da 6.

A: Evaluate the integral and find the derivative of y at x=1

Q: L 1. Find (f. g)(x) if f(x) = x²+2x+4 and g(x) = -2. O (f.g)(x)=x³-4x²-8x+8 O (f.g)(x)=x³+4x²+8x-8 O…

A: Find the (f•g)(x)

Q: Suppose f(x) = 9x 9 and g(x) x2 + 5x + 8 (f o g)(x) = %3D

A: f(x)=9x-9g(x)=1x2+5x+8f ο gx=f(g(x))put x=g(x) in f(x)

Q: Domain of g-¹ (x) ;.

A:

Q: 4. If f(x) = x² + 2 and g(x) = 2x − 1, what is (fog)(x)? (A) 4x² - 4x +3 (B) 4x² + 3 (C) 4x² - 4x +…

A: Detailed solution will be given below

Q: If f is one-to-one and f(6)=9, then f−1(9)=  and (f(6))−1 =

A:

Q: = 21a and g (x) 4, then (gc 21 4.00

A: We have to choose the correct answer from the given option according to the given condition

Q: Suppose that the functions s and t are defined for all real numbers x as follows. s(x)=3x-2 t(x)=x-4…

A: The function s and t are defined as  sx=3x-2 tx=x-4

Q: If f(x).= x³+3x k is divided by (x +1) and the remainder is 12, then - k = -8. True False

A: Given :fx=x3+3x-k*Remainder theorem; - If a polynomial f(x) is divided by x-a then the remainder is…

Q: If g(2)=5 and f(5)=22 then (f o g)(2)=

A:

Q: If h(x) = (4x – 7)/5   then h-1(x) =

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Q: 8. FIND f(4) (x) OF f(x) = 3x7 + 4x6 + 8x³ – 2x + 1

A:

Q: If g(x) = 3x2 + 2x- 4, find g(-3). %3D

A: In this question we have to find the value of g(-3)

Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

A:

Q: Suppose f(x) = - 3x+5x + 6. Compute the following: %3D a) f( – 4) + f(2) = b) f( – 4) – f(2) =

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Q: determine g(x) 5 G(s) = S² (5+1) 2

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Q: Suppose f(x) = 9x 2 and g(x) = Vx – 2x + 6. - - (f o g)(x) = (f o g)(2) = %3D

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Q: Find f(0), if f(x)=3 – 5x + x2.

A: Given function is, fx=3-5x+x2. The objective is to find the f0. Function is described as the special…

Q: If If h (z) = (x+ 4) – 6, find h(-5) h(-5)=

A: The polynomial is given by h(x) = x+42 - 6 To evaluate : h(-5) = ?