Question

if
(x)= x^2+ 5 and g(x) =2x find ( f o g )(x) and (g o f)(x)

Answer #1

I

II

.

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For f(x) = x^2+6 and g(x) = x^2-5 find the following
functions.
a.) (f o g)(x)
b.) (g o f) (x)
c.) (f o g) (4)
d.) (g o f) (4)

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

5. Part I
If f(x) = 2x 2 - 3x + 1, find f(3) - f(2).
A. 0
B. 7
C. 17
Part II
If G( x ) = 5 x - 2, find G-1(x).
A. -5x + 2
B. (x + 2)/5
C. (x/5) + 2
Please help me solve this problem and if you can please also
show or explain how you got that answer. Thank you! :)

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

Let F(x) = 1 + x^2 and G(x) = 1/(1-2x). Find the coefficient of
x^2 for the power series
(a) F(x) +G(X)
(b) F(x)G(x)
(c) G(x)^2

6. Letf(x)=2x–7, g(x)=x2-5, andj(x)= 1 2?−1
Find (f ° ?)(x), simplify your answer completely
Find (j°g)(-3)

Find the values of a function f(x) if
f(x) = 2x + 5, for
f(2), f(4),
f(k), and f(x2 +
2)
The difference quotient of a function is given by:
limh0f(x)
fx+h-f(x)h . Find the
difference quotient of, f(x) = 2x + 3 and f(x) = x2 +
2
a. Prove that h(x) and k(x) are inverses of each other when
h(x) =x+213 and k(x) = 3x + 21

f(x) = 3 / [x^2 +1] ; g(x) = x + 1.
2a: f o g(x) = ?
2b: g o f(x) = ?
2c: Domain of f ?
2d: Domain of g ?
2e: Domain of f o g ?
2f: Domain of g o f ?

Suppose f = x^3 + 2x^2 + x − 1 and g = x^2 + 3x + 3 in Q[x].
Find gcd(f, g) and express it in the form gcd(f, g) = uf + vg for
u, v ∈ Q[x].

find f"(x) for f(x) = 1 -2x / 4x+5

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