How JustAnswer Works:
  • Ask an Expert
    Experts are full of valuable knowledge and are ready to help with any question. Credentials confirmed by a Fortune 500 verification firm.
  • Get a Professional Answer
    Via email, text message, or notification as you wait on our site.
    Ask follow up questions if you need to.
  • 100% Satisfaction Guarantee
    Rate the answer you receive.
Ask Scott Your Own Question
Scott
Scott, MIT Graduate
Category: Math Homework
Satisfied Customers: 17710
Experience:  Over 13,000 accepts & 100% feedback in the old math category
3546829
Type Your Math Homework Question Here...
Scott is online now
A new question is answered every 9 seconds

Tell whether the equation determines y to be a function of

This answer was rated:

This is for Scott:

Tell whether the equation determines y to be a function of x.

21) y = 2x^2

Find each value given that f(x) = 2x+1.

58) f(b) - f(1)

Find the domain and range of each function.

63) f(x) = 1/x-4

Draw the graph of each linear function and give the domain and range.

71) 2x - 3y = 6

Tell whether each equation defines a linear function.

75) x=3y - 4

Let f(x) = 2x+1 and g(x) = x - 3. Find each function and its domain.

21) f+g

22) f - g

24) f/g

For each function, find f(x+h) - f(x) / h

65) f(x) = x^2 + 3x-4

Find the inverse of each function. Then graph the function and its inverse on one coordinate system. Find the equation of the line of symmetry.

39) f(x)=4x+3

Find the inverse of each function and tell whether it is a function.

47) y = x^2 + 4

49) y = x^3

Hi there!

I missed you a couple days ago when you said you were going to post :)

But I'll do these right now.

-Scott

Thanks for requesting me!

Tell whether the equation determines y to be a function of x.

21) y = 2x^2

Yes, there is only 1 y value for each x.

Find each value given that f(x) = 2x+1.

58) f(b) - f(1)
2b+1 - (2*1+1)

= 2b + 1 - (3)

= 2b - 2


Find the domain and range of each function.

63) f(x) = 1/x-4
1/(x-4)

Domain is all x except x = 4

Range is all y except y = 0


Draw the graph of each linear function and give the domain and range.

71) 2x - 3y = 6

Domain is all x.

range is all y

Graph:

graphic

Tell whether each equation defines a linear function.

75) x=3y - 4
Yes, there are two variables and no powers


Let f(x) = 2x+1 and g(x) = x - 3. Find each function and its domain.

21) f+g
2x + 1 + x - 3

3x - 2

domain is all x
range is all y


22) f - g
2x + 1 - (x-3)

= 2x + 1 - x + 3

= x + 4

domain is all x
range is all y


24) f/g

(2x+1)/(x-3)

domain is all x except 3
range is all y except 2


For each function, find f(x+h) - f(x) / h

65) f(x) = x^2 + 3x-4

((x+h)^2 + 3(x+h) - 4 - (x^2 + 3x - 4)) / h

(x^2 + 2hx + h^2 + 3x + 3h - 4 - x^2 - 3x + 4)/h

(2hx + h^2 + 3h - 4 + 4)/h

(2hx + h^2 + 3h)/h

2x + h + 3

Find the inverse of each function. Then graph the function and its inverse on one coordinate system. Find the equation of the line of symmetry.

39) f(x)=4x+3
x = 4g(x) + 3

4g(x) = x - 3

g(x) = (x-3)/4

The line of symmetry is y = x

graphic


Find the inverse of each function and tell whether it is a function.

47) y = x^2 + 4

x = y^2 + 4

y^2 = x - 4

y = +/- sqrt(x-4) not a function

49) y = x^3

x = y^3

y = x^(1/3) function

 

Let me know if you have any questions before you accept,

Scott

Scott and other Math Homework Specialists are ready to help you