f(x) =x-5 g (x) = 4x Write the expressions for (g:f)(x) and (g-f)(x) and evaluate (g+f)(3).

Q: 5x2 + 3x + 3 If f(x) then: f'(x) = f'(4) -

A:

Q: F(X) = -X4  + X2 +3 How to solve for x?

A: Given,

Q: f(3) - f(-1) f(x) = 4x² - 3x +2

A:

Q: f (x) = -2x2 + 3x - 4

A: Given- fx=-2x2+3x-4 To find- The solutions of the above quadratic equation. Identity Used- The…

Q: f(x): ×+18 and glx) = 4x-34 2. f(x) - 5x - || and glx) - 7 -3x

A:

Q: It f(x) = x² - 4x - 3, find f (x + 3). 10. If g(x) = 2x³ + 4x − 5, find g(x − m)

A: 9) The given function is: f(x)=x2-4x-3

Q: f(x)= 2x+5 3x-2 -19 (3x-2) f(x)=-

A: SOLUTION-

Q: f(x)= 2x^2 - 6, find f^-1(f(f^-1(12)))

A:

Q: x² = x - 12 -X-12 f(x)%3= x2-2x 8

A:

Q: 2-f (x)=x2-2x

A: Given function is f(x)=x2-2x Find the inverse of a given function i.e., f-1(x)

Q: The range of f(x)= 2x2+5x-8 is [- 65/8, 0) O [-73/8,00) e [-10,00) [-17/2,0) [- 89/8,00) O…

A:

Q: 2 f(x) = 3x-5x-5; k = 3

A:

Q: F(X) = 3X+5 g(X)= 6X (Fxg)(X)= (F-g)(X)= (F+g)(4)

A: f(x) = 3x+5g(x) = 6x(F x g)(x) = F(g(x))                  = 3g(x)+5                  =3 x 6x+5…

Q: f'(x)= X-2 x²-9

A: Given data:   The derivative of the function is given as:.   The expression to find out the point of…

Q: x- 2 F 2x-9 3.

A:

Q: x5-3x-2-7x c) iii) f"(x) for f(x) = %3D

A:

Q: using its equation. f(x) =(4x5)– 3x + 2x³ Justify how you know here:

A: End behavior is determined by the degree of the polynomial and the leading coefficient.

Q: F₁ {f"(x)} = √ √ = Pf60) - P² Fs {f(x)]

A: The objective is prove, Fsf''(x)=2πpf(0)-p2Fs{f(x)}

Q: e8(x) and g(x) 43. Find f'(2) if f(x)

A:

Q: f(x) = -a2 +7x – 13 x²+7x- 13 Find f(-3)

A: fx    =-x2+7x-13f-3 =--32+7-3-13-xn=1      n is even-1   n is odd-32=9   and  +×-=-rule of sign for…

Q: using f(x)=(3x)^2-5x-12, find f(-3)

A: Given    f(x) = (3x)^2 - 5x - 12 , then f(-3) = ?

Q: x-4 for x2

A:

Q: f(x) = 10 - x2 %3!

A: Consider the given function, fx=10-x2 The limits are given as, Lower Limit: a=-1 Upper Limit: b=2…

Q: g(x)=2x-1

A:

Q: f(x) = x^4 + 4x^3 - 7x^2 - 34x - 24   what is the points of Inflection and how do you find it:

A: Given, fx = x4 +4x3 -7x2 -34x-24  We have to find the point of inflection

Q: f(x)=2x2  g(x)=5x+7 (gof)(x)=

A: Given ,  f(x)=2x2  g(x)=5x + 7 We have to find (gof)(x)

Q: ƒ f(x) = 25, find f'(-3).

A: Topic:- derivatives

Q: 0-g(x)]

A: The limits given are limx→cfx=-13 , limx→cgx=-15. To find the limit of the function ,  Apply the…

Q: f(x) = 2x - 5 and g(x) = x^2 + 2, find the (fg)(x)

A: Solution:Given     f(x)=2x-5   and     g(x)=x2+2To find (fg)(x)Formula:(fg)(x)=f(x)g(x)

Q: F(x)=-4x+2    and    g(x)=x2-5  find the difference (g-f)(x)

A: Given that the two functions,

Q: 2x2-4 x2-1. 12) f(x) =

A:

Q: F) = X- 3 x² 2x-4

A: on differentiation we get

Q: 21. f(x)=7x-2

A: here in 21 using the definition of derivative we get

Q: 4x - 4 rse of f(x) 2x - 1

A: From the given data:

Q: Solve: If f(x)=3x-1 and t(x)=x+1, what is the domain of t. The domain is : Example: x7

A:

Q: F(x) = 3x2 +4x -5 G(x) = 2x2-8 H(x) = -4x2 +5x-2       F(2) - H(-3)

A: Substitute the value of x for each function and find F(2) - H(-3). As F(x) is given, put x= 2 to…

Q: f(x) = 7-

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: f(x)=3x^3-3x-14 f(a+h)=

A:

Q: f (x) = 3x^3

A: Given, f(x)=3x3

Q: x3 - 4x2 - 7x + 10. Factorize the function f (x) to solve the equation f (x) = 0

A:

Q: Differentiate.

A: given functiong(x)=x2-22x+1we have to differentaite the given function.

Q: 14-x Vx-1 Find the domain of y | 3+x x+5

A: The given function is: y=4-x3+x-2-x-1x+5

Q: 2. f(x) = 3x - 1; g(x) = 4 – 2x

A:

Q: f(x) = ²-12x+20 x-1

A:

Q: f(x)=-5x2+2x g(x)=3x-2 (g/f)(-2)

A: Given that f(x)=-5x2+2x and  g(x)=3x-2 To find the (g/f)(-2)

Q: f(x) = 5 x² − 5 x, -

A:

Q: f(x) = 3^x3 - 5, find  f(-4)

A:

Q: 5. f(x) = x²(3x + 2)³; f'(-2)

A:

Q: f(x) = -x² – x – 2 3 g(x) : -3x + 5

A:

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.