Question

suppose f(x)=4x/3+5 and g(x)=x/3+1. solve for x when f(x)=g(x)
A). x=?
B). and what is the value of f(x) at that solution?
please show work so I understand the steps. thanks

Answer 1

4x/3+5 = x/3+1
4x + 15 = x + 3
3x = -12
x = -4

Answer 2

b) f(x) = f(-4) = 4*(-4)/3 + 5 = -16/3 + 5 = 5 - 16/3 = 15/3 - 16/3 = -1/3

Answer 3

thank you, did we also work out the X/3+1 part? I get what you did before that

Answer 4

no they're just asking for f(x)

Answer 5

oh. you are so helpful. there is one last part for this:
Solve the inequality: f(x) is less than or equal to g(x). Write the solution set in interval notation.

Answer 6

f(x)<=g(x)

Answer 7

yes

Answer 8

please write the solution set in interval notation:

Answer 9

f(x)=4x/3+5 and g(x)=x/3+1
4x/3+5 <= x/3 + 1
4x + 15 <= x + 3
4x -x <= 3-15
3x <= -12
x <= -4

Answer 10

(-infinity; 4]

Answer 11

gosh, you are really helpful. Thank you so much. I actually understand the way you are working the problems.

Answer 12

oh, one question, why is the is it a positive 4 in the interval notation?

Answer 13

and not a negative 4?

Answer 14

wait it was negative four, a typo.