Question

1a.

Find the domain and range of the function. (Enter your answer using interval notation.)

f(x) = −|x + 8|

domain=

range=

1b.

Consider the following function. Find the composite functions

f ∘ g

and

g ∘ f.

Find the domain of each composite function. (Enter your domains using interval notation.)

f(x) =

x − 3 |

g(x) = x^{2}

(f ∘ g)(x)=

domain =

(g ∘ f)(x) =

domain

are the two functions equal?

y

n

1c.

Convert the radian measure to degree measure.

π |

3 |

1d.

Evaluate the sine, cosine, and tangent of the angle.

7π |

3 |

sin (7pie/3)

cos(7pie/3)

tan(7pie/3)

1e.

Solve the equation for θ, where

0 ≤ θ ≤ 2π.

(Enter your answers as a comma-separated list.)

4 cos^{2}(θ) = 3

θ =

Answer #1

4. Find the inverse function of f. State the domain and range
(in interval notation) of the
inverse function f exponent of −1 (x).
f(x) = 4 + 5x all over 3x − 6

Q 1) Consider the following functions.
f(x) = 2/x, g(x) = 3x + 12
Find (f ∘ g)(x).
Find the domain of (f ∘ g)(x). (Enter your answer using interval
notation.)
Find (g ∘ f)(x).
Find the domain of (g ∘ f)(x). (Enter your answer using
interval notation.)
Find (f ∘ f)(x).
Find the domain of (f ∘ f)(x). (Enter your answer using
interval notation.)
Find (g ∘ g)(x).
Find the domain of (g ∘ g)(x). (Enter your answer using interval
notation.)
Q...

Using interval notation, determine the largest domain over which
the given function is one‑to‑one. Then, provide the equation for
the inverse of the function that is restricted to that domain.
If two equally large domains exist over which the given function
is one‑to‑one, you may use either domain. However, be certain that
the equation for the inverse function you submit is appropriate for
the particular domain you choose.
f(x)=10−x
(Give your answer as an interval in the form (∗,∗).
Use...

Find the inverse function of f(x)= 1+2cos(x) and then find the
domain and the range of the function of both f and f^-1??
Find the inverse function of f(x)=sqrt(3-e^2x) and then find the
domain and the range of the function of both f and f^-1??

1. Consider the function.
f(x) = 6x − 9
(a) Find the inverse function of f.
(b) Graph f and f −1 on the same
set of coordinate axes.
(c) Describe the relationship between the graphs. The graphs of
f and f −1 are reflections of each
other across the line y =
(d) State the domain and range of f and f
−1. (Enter your answers using interval notation.)
2.
Consider the function.
f(x) = x+3/x
(a) Find the...

Express the function f(t) = t, defined ONLY in the domain
0<t<3, as i) a half-range sine series and ii) a half-range
cosine series. In each case, confirm the value of f(t) at t=2.

f(x)=1x−2 and g(x)=x−7x+3. For each function h given below, find
a formula for h(x) and the domain of h. Use interval notation for
entering the domains.
a) h(x)=(f∘g)(x). h(x) = Domain =
b) h(x)=(g∘f)(x). h(x) = Domain =
c) h(x)=(f∘f)(x). h(x) = Domain =
d) h(x)=(g∘g)(x). h(x) = Domain =

Consider the function on the interval (0, 2π). f(x) = sin(x)
cos(x) + 4. (A) Find the open interval(s) on which the function is
increasing or decreasing. (Enter your answers using interval
notation.) (B) Apply the First Derivative Test to identify all
relative extrema.

1) Find the interval of convergence I of the series.
(Enter your answer using interval notation.)
∞
7n (x +
5)n
n
n = 1
2) Find the radius of convergence, R, of the following
series.
∞
n!(7x
− 1)n
n = 1
3) Suppose that the radius of convergence of the power
series
cn xn
is R.
What is the radius of convergence of the power series
cn x5n
?
4) Find the radius of convergence, R, of the...

Consider the following function. (If an answer does not exist,
enter DNE.)
f(x) = 1 +
5
x
−
3
x2
(c) Find the local maximum and minimum values.
(d) Find the interval where the function is concave up. (Enter your
answer using interval notation.)
(e) Find the interval where the function is concave down. (Enter
your answer using interval notation.)
(f) Find the inflection point.
(x, y) =

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 3 minutes ago

asked 8 minutes ago

asked 8 minutes ago

asked 10 minutes ago

asked 15 minutes ago

asked 15 minutes ago

asked 15 minutes ago

asked 16 minutes ago

asked 18 minutes ago

asked 22 minutes ago

asked 22 minutes ago