Question

1. Let f(x)=x^{2}−9 and g(x)=15−x.

Perform the composition or operation indicated.

(fg)(−8)=

2. Let f(x)=x^{2}−8 and g(x)=16−x.

Perform the composition or operation indicated.

(f/g)(7)=

3. Let f(x)=5x+4 and g(x)e=4x−7. Find (f+g)(x),(f−g)(x), (fg)(x), and (f/g)(x)

Give the domain of each.

Answer #1

1. Let f(x)=−x^2+13x+4
a.Find the derivative f '(x)
b. Find f '(−3)
2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded
to 2 decimal places.
f '(3)=
3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x).
f '(x)=
4. Find the derivative of the function f(x)=√x−5/x^4
f '(x)=
5. Find the derivative of the function f(x)=2x−5/3x−3
f '(x)=
6. Find the derivative of the function
g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your
answer.
g '(x)=
7. Let f(x)=(−x^2+x+3)^5
a. Find the derivative....

Let f(x)=3x4+8 and g(x)=x+4. (f∘g)(x)=
Let f(x)=9x+9 and g(x)=5−7x2. (f∘g)(−2)=(f∘g)(−2)=
Let h(x)=(f∘g)(x)=1/(x+8)^3. Find f(x) given g(x)=x+8. f(x)=

f(x)=x2+9 and g(x)=x2-8, find the
following functions. a. (f * g) (x); b. (g * f)(x) c. (f *
g)(4);
d. (g * f)(4)

1)If f(x)=2x-2 and g(x)=3x+9, find the following. a)
f(g(x))=? b) g(f(x))=? c) f(f(x))=?
2)Let f(x)=x^2 and g(x)=6x-16. Find the following: a)
f(3)+g(3)=? b) f(3)*g(3)=? c) f(g(3))=? d) g(f(3))=?
3) For g(x)=x^2+3x+4, find and simplify
g(3+h)-g(3)=?
Please break down in detail. Please and Thank
you

1. Given f(x) = x2 − 3x − 2 and g(x) = √x − 2, calculate the
following:
(a) (5 points) (f + g)(5)
(b) (5 points) (fg)(3)
(c) (5 points) (fg)(2)

Find f o g and g o f
f(x)= 8/(x^2-1) , g(x) = x^3 +1
also find domain of f, g, f o g , and
g o f

1020) y=8/sqrt(4x^7)=Ax^B + C. y'=Kx^F + G. y'(9)=H. Find A,B,C,K,F,G,H. ans:7
1026) Find the derivative of y=(5x^(1/4) - 8x^(1/7))^3, when x=2. ans:1
1010) y=3x^2 + 2x + 5 and y'=Ax^2 + Bx + C. Find A,B,C. Next Question:
y=(x^2)/7 + x/4 + 2 and y'=Hx^2 + Fx + G. Find H,F,G. ans:6

1. f '(x) = 14x − 20x3; f(3) = 7
2. f ''(x) = x2, f '(0) =
5, f(0) = 3
3.
5/1+e^-5x dx

Let F(x)=f(x3) and G(x)=(f(x))3 . You also
know that a2=12,f(a)=3,f′(a)=8,f′(a3)=4. Find
F'(a)= and G'(a)= .
Let F(x)=f(f(x))and G(x)=(F(x))2 . You also know that
f(4)=13,f(13)=2,f′(13)=5,f′(4)=11.
Find F′(4)= and G′(4)=

f(x) = (5)/(sqrt(4-x)), g(x)=x+4
1. find domain of f
2. domain of g
3. (f∘g)(x)
4. domain (f∘g)

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