Find Axth) for each of the following function (a) x)7 (c) /(x) = x + 1 (b)/(x) =

Question

Find Axth) for each of the following function (a) x)7 (c) /(x) = x + 1 (b)/(x) = x (d)Ax)r 2. Compute 2+h-(2) for each of the following function Assume h (a) /(x) = 5 (c) fx) (b)Ax) x+5 (d) Ax)-x-1 f(x) f(2) Compute for each of the following function. Assume xi (a) Mx) 5 (c)fx) (b)Ax)-x+5 (d)fAx)--x -I 4. Compute the difference quotient Assume h 0 (a) fx)-x +5 (c)f(x) = 3x2-2x +1 (e)f(x) = x3-2x for each of the functions below (b) fx)-x'-4 d) fox) D x)- f(x-h-f(x) Compute the difference quotient Assume h

Explanation / Answer

1.

a) f(x+h) = 7

b) f(x+h) = x+h+5

c) f(x+h) = x+h+1

d) f(x+h) = (x+h)^2

2.

a) f(2+h) = 5 , f(2)=5

hence, f(2+h)-f(2)=0

b) f(2+h) = (2+h)+5, f(2)=2+5=7

f(2+h)-f(2)/h = h/h =1

c) f(2+h) = (2+h)^2, f(2)=2*2 = 4

f(2+h)-f(2) = h^2+2h

f(2+h)-f(2)/h = h+2

d) f(2+h)= (2+h)^2 - (h+2)+1 , f(2)= 2*2-2+1=3

f(2+h)-f(2)/h = 4+h^2+4h-h-2+1 - 3 = 3h+3/h = 3+(3/h)

As per chegg norms only 1 question per post to be answered. Please post the other as a seperate question

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.