Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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Question 1160310: For the function
f(x)=7/(8x+10)

find the range of f by finding the values of a for which f(x)=a has a solution.
Enter your answer as an inequality or a restriction on y.
the range of y=f(x) is ?
Click here to see answer by ikleyn(52747)

Question 1160670: Consider the following functions:
f(x)=(1) / (x-4) ; g(x)= x^2+4
Complete the following statement, given the h= (g o f).
h(5)= g (f(5)) = g(BLANK)
Please find out blank please!
Click here to see answer by ikleyn(52747)

Question 1160671: Find and simplify
(f(a+h)-f(a)) / (h) (h not equal to 0)
for the following function
f(x)=4x^2 - 6x + 1
Click here to see answer by josgarithmetic(39613)

Question 1160671: Find and simplify
(f(a+h)-f(a)) / (h) (h not equal to 0)
for the following function
f(x)=4x^2 - 6x + 1
Click here to see answer by MathTherapy(10549)

Question 1160675: Find functions f and g such that h= g o f. (Note: The answer is not unique.
Enter your answers as a comma-separated list of functions. Use non-identity
functions for f and g.)
h(x)=(5x-3)^3/2
{g(x), f(x)} =
Click here to see answer by MathLover1(20849)

Question 1160669: Find functions f and g such that
h = g ∘ f. (Note: The answer is not unique. Enter your answers as a comma-separated list of functions. Use non-identity functions for f and g.)
h(x)=(5x-3)^3/2
{g(x),f(x)} = { }
Click here to see answer by MathLover1(20849)

Question 1160678: Express the area, A, of a rectangle as a function of the width, W, if the width of the rectangle is twice its length.
Click here to see answer by ikleyn(52747)

Question 1160543: Lyft is offering a deal of 0.09 cents per minute if you are driving to anywhere under 15 minutes. If the location is over 15 minutes, it doubles to 0.18 cents per minute. What’s the domain and if possible the Range
Click here to see answer by greenestamps(13195)

Question 1160895: The function f(x)=7x+2/x-3, x≠3, is one-to-one. Find an equation for f^-1(x), the inverse function.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1161122: Determine the domain and range of the function Y=-4cos3/2(x-1)+3
Click here to see answer by greenestamps(13195)

Question 1161350: The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?
Click here to see answer by MathLover1(20849)

Question 1161350: The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?
Click here to see answer by ikleyn(52747)

Question 1161387: Consider:
f(x)=(x^2-3x-4)/(x^2-16)
Give the domain of f(x).
Test all the conditions of continuity to determine whether the given function is continuous of discontinuous at point x=4.

Click here to see answer by MathLover1(20849)

Question 1161513: Suppose that the functions h and g are defined as follows.
h(x)=x+2
g(x)=(x+4)(x+3)
(a) Find (h/g)(1)
(b) Find all values that are NOT in the domain of h/g.
If there is more than one value separate them with commas.

Click here to see answer by solver91311(24713)

Question 1161619: 𝑓(𝑥) = {
√1 − 𝑥
2 0 < 𝑥 < 1
1, 1 ≤ 𝑥 < 2
2, 𝑥 = 2
Then (i) FIND domain and range of 𝑓(𝑥)
Click here to see answer by solver91311(24713)

Question 1161867: What is the range of the given function? {(-5,9)(1,0)(4,-7)(6,-1)}

Click here to see answer by Edwin McCravy(20054)

Question 1161958: Find f (-t)=6; whenf (x) = x^2 - 3x + 4
Click here to see answer by solver91311(24713)

Question 1161979: ok so I'm completely stumped, please help? Theres too many numbers here

3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

a) 8
b) 9
c) 10
d) 11
e) 12
Click here to see answer by josgarithmetic(39613)

Question 1162042: Given the function f(x)=-2c+cx-x^2 and f^-1(3)=-1, find c.
Click here to see answer by MathLover1(20849)

Question 1162042: Given the function f(x)=-2c+cx-x^2 and f^-1(3)=-1, find c.
Click here to see answer by greenestamps(13195)

Question 1162042: Given the function f(x)=-2c+cx-x^2 and f^-1(3)=-1, find c.
Click here to see answer by ikleyn(52747)

Question 1162078: What is the domain of f(x) = 2log(x + 6) - 10?
Click here to see answer by ikleyn(52747)

Question 1162238: A small island is 3km from the nearest point P on the straight shoreline of a large lake. A village is 12km down the shore from P. If a man can row a boat at a rate of 2.5 km per hour and walk at 6.5km per hour, where should he land the boat to minimize the time to town?
Click here to see answer by greenestamps(13195)

Question 1162274: Given the function g(x)= x^4 - 2x^3 + 1
a. Estimate the instantaneous rate of change at x=1
b. Will the instantaneous rate of change be the same at any x-value on the
function? Explain why or why not.
Click here to see answer by ikleyn(52747)

Question 1162275: Given f(x)=3x+2 and g(x)= -2x+1
a) write an equation for (f+g)(x)
b) determine (f+g)(6)
c) determine (fg)(x)
d) determine (f-g)(x)
e) determine the domain of (f÷g)(x)
Click here to see answer by josgarithmetic(39613)

Question 1162433: 8. a) Given the functions f(x) = x + 2 and g(x) = 3^x, determine an equation for (f ∘ g)(x) and (g ∘ f)(x).
b) Determine f(g(3)) and g(f(3)).
c) Determine all values of x for which f(g(x)) = g(f(x)).
Click here to see answer by Edwin McCravy(20054)

Question 1162439: Given the functions f(x) = x + 2 and g(x) = 3^x , Determine all values of x for which f(g(x)) = g(f(x)).

Click here to see answer by greenestamps(13195)

Question 1162432: 6. a) Given f(x) = log(x) and g(x) = 1/𝑥+3, identify the steps you would take to determine the domain of (f ∘ g)(x). What is the domain of (f ∘ g)(x)?

b) Would the domain of (g ∘ f)(x) be the same? Explain. What is the domain of (g ∘ f)(x)?
Click here to see answer by greenestamps(13195)

Question 1162522: 6. a) Given f(x) = log(x) and g(x) = 1/(𝑥+3), identify the steps you would take to determine the domain of (f ∘ g)(x). What is the domain of (f ∘ g)(x)?
b) Would the domain of (g ∘ f)(x) be the same? Explain. What is the domain of (g ∘ f)(x)?
Click here to see answer by solver91311(24713)

Question 1162521: Given f(x) = 1/𝑥 and g(x) = sinx, provide a characteristic that the two functions have in common and a characteristic that distinguishes them.
Click here to see answer by ikleyn(52747)

Question 1162536: 3u,-1/2gt
Click here to see answer by greenestamps(13195)

Question 1162860: is 2y = x - 4 a function
Click here to see answer by Theo(13342)

Question 1162897: Consider a rectangle with perimeter 28 (units). Let the width of the
rectangle be w (units) and let the Area of the region enclosed by the
rectangle be A ( square units).
Express A as a function of w and state the domain and range of the
function.
Click here to see answer by jim_thompson5910(35256)

Question 1162931: If a function f(t) dt = 3x^2 + (a+8) + 4, what is the value of the constant a?
I want to understand how to solve this kind of problem so please show me your process if you're able.
Click here to see answer by ikleyn(52747)

Question 1163086: f(x)=4x-7, find f(x+h)-f(x)/h
I believe I am supposed to pluf the number given into the equation.
Click here to see answer by Alan3354(69443)

Question 1163090: f(x)= 1/2 x^2 and g(x)=2x+2 find (f°g)(x)
Click here to see answer by solver91311(24713)

Question 1163140: How do i find the inverse function of: f(x)=ln√(e^x - 2)
I started it like this:
f(x)=y <=> y=ln√(e^x-2) <=> e^y = √(e^x-2) <=> e^2y = e^x - 2 <=> e^x = e^2y+2 <=> ???
But I couldn't solve it till the end so i would appreciate any kind of help!
Click here to see answer by Edwin McCravy(20054)

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