Question

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 ?

Answer #1

Suppose a 3x3 real matrix A=[a b c; d e f; g h i] has
determinant 5. What is the determinant of the 3x3 matrix B=[2a 2c
2b; 2d 2f 2e; 2g 2i 2h]?

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

If f (2) = 1, \ f '(2) = - 3 and g (x) = log_2 (x ^ 2f (x) / cos (f (x)) then g' (2) is equal to:
a)-9.625983
B)-3.327777
c)-4.800967
d)-12.01444
E)The answer doesn´t exist

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)

a.)Consider the function f (x) = 3x/ x^2 +1
i) Evaluate f (x+1), and f (x)+1. Explain the difference. Do the
same for f (2x) and 2f (x).
ii) Sketch y = f (x) on the interval [−2, 2].
iii) Solve the equations f (x) = 1.2 and f (x) = 2. In each
case, if a solution does not exist, explain.
iv) What is the domain of f (x)?
b.)Let f (x) = √x −1 and g (x) =...

f(x)=x^3- (3+2a^2)×^2+ (2+6a^2)×-4a^2
Define the function g(a): the smallest positive root of f(x)
Is the function g(a) continuous? Use a graph to justify ur
answer

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

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)

If f(x) = 3x2 − x + 5, find the following
f(2) =
f(−2) =
f(a) =
f(−a) =
f(a + 1) =
2f(a) =
f(2a) =
f(a2) =
[f(a)]2 =
f(a + h) =

What can be said about the domain of the function f o g where
f(y) = 4/(y-2) and g(x) = 5/(3X-1)? Express it in terms of a union
of intervals of real numbers. Go to demos and obtain the graph of
f, g and f o g.
Find the inverse of the function f(x) = 4 + sqrt(x-2).
State the domain and range of both the function and the inverse
function in terms of intervals of real numbers. Go to...

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