1 Given h(x) . x+1• find h-(x), @ n-(x) = X-1 A B ® h-(x) = 1+* h-(x) = 1-x 1-x O n-(x)= 1=×

Q: a = < x, y, 1 >b = < 1, -1, 3 >|a| = (14)^(1/2)/2a•b = 5Find all possible values of x…

A: As we know dot product and given information

Q: Let f(x)=x^2−8x+5 with domain 0<x<4 Calculate (f^−1)′(−2)

A:

Q: If f(x) = 10x^2-37x+11, then there are two real numbers a<b such that f(a)=f(b)=4, and there is a…

A: The objective is to solve .

Q: Expand (x+2)(x+5)

A: This expansion can be done using distributive property. According to this property multiply of sum…

Q: • prove that y` = = for y= (of (1+x)) 1+x²

A:

Q: Prove that for integers y=1 the equation 3h-n (2x₁ + x₂ + 4x₂) +3² (~1(2x₁+x₂+.+xn-1)+...+3^-1 (2²₁)…

A: We will use contradiction to prove it.

Q: If h(x) = x² + 2 then h*(11) + h(-4) is

A: We have to find the value

Q: If h(x)  =   x  +  1     if x˂  -1                               2  + 2x    if x ≥  -1        Find…

A:

Q: Find a formula for f-(x) and (f-1)'(æ) if ƒ(x) = -V5 – x f-' (x) = (5-1)'(x) =

A:

Q: IF X' + ㅗ X² 970 + then (x-2)(x-4) (x-4) (x-8) = ?

A: If Find the value

Q: 28. 5 29. (x + 1)(x – 1) 30. 을 (x-1)5

A:

Q: If fix) = 4x and g(x) = x + 9, find (f o g) 'x) and g" '(1 'x). (fo g)" 'x) =D

A:

Q: f(x) = (-x³ – 2x)e*+2 f'(x) =?

A: Given: f ( x ) = - ( x3 + 2 x ) ex+2          To Find: f' ( x )

Q: For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. C(h) = 3 + 5h What does the…

A: We can answer both the questions as below

Q: x+3x + 2 If f(x) = then f'(1) = %3D O 3 07 0 5 0 4

A: By using differentiation property, we calculate the required value.

Q: 4. j(x) = {x3 - 2 <x <1 x² + 2x -4 x21 Domain: Range: j(-3) = -6-5-4 -3-2-1 0이 1234 5 1- -2 -3+ = ()…

A:

Q: f(x)=(x^2-1)/(x+4) Find the following :  5) f(2x) 6) f(a+k)

A: For 5th put 2x in place of x And for 6th put a+k in place of x in f(x)

Q: If f(x) = x*e*, then f"(x) = A 12x²e* B e(x* + 4x?) © e*(xª + 4x3 + 12x²) ex(x4 + 8x3 + 12x²)

A: Given; f(x) = x4ex

Q: Suppose g(x) = 3 + x/2x − 3. Evaluate g^−1(−1).

A:

Q: f(x)={mx−10 if x&lt;−9 f(x)={x^2+6x−1 if x≥−9

A: We have given a piecewise function

Q: Given, F(x) = 2x+3/4x+5 for x ne-5/4; f^-1(x)

A:

Q: (x +)´ dx

A: Given: I=∫x+1x2dx   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And The sum/difference…

Q: What is the coefficient of x^n for the generating function (1)/(1+x)^2?

A:

Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…

A: Given query is to find the derivative of the expression.

Q: Find f'(x) if f(x) = ln( -(2²+12x+12) (x+6)(x²+2x) -(x+6) (x²+12x+12) (x²+2x)³ x²+2x x+6 -x(x+2)…

A:

Q: values

A: We will find the value of x between 0&lt;x&lt;10.

Q: f(x) = x – 1 m(x) = 3x + 2 h(x) = -4 g(x) = x2 – 5x + 4 4. (m • g)(x) 5. (mof)(x) 6. (g - f)(x)

A: (m×g)(x)=m(x)×g(x)given:m(x)=3x+2 and g(x)=x2-5x+4(m×g)(x)=(3x+2)(x2-5x+4)=3x3-13x2+2x+8

Q: Given f(x) = e2(x-1) – 4x² –x + Inx then find f'(1). I.-8 II. -4 III. -8x IV. -6 V. (r-1) Saloct ane

A: Answer and explanation is given below