# math

posted by .

Let f(x)=x+2 Ix-3I and g(x)=3x-1
Find all solutions to the equation f(g(x))=-4x

So this is what I did...

(3x-1)+2 I(3x-1)-3I=-4x
(3x-1)+2 I3x-4I=-4x

This is where I got stuck. What do I do with the absolute value? and this part?(3x-1)+2=3x+1 ??

• math -

Replace |x-3| with x-3 and solve. Accept only solutions for which x>3

Then replace |x-3| with 3-x and solve again. Accept only solutions for which x<3

• math -

Solve it in regions:
a) when 3x>4 or x>4/3
then 3x-1+6x-8=-4x
13x=9
x=9/13 check that. IF so, then not a solution, because x is not>4/3

b) when 3x<4 or x<4/3
then 3x-1-6x+2=-4x
x=1 which is true, because x<4/3
check my figuring.

• math -

Thanks you! I get it now!

## Similar Questions

1. ### math

i can figure this out -2+|-5+6| i try inverse but im still getting it wrong ive been stuck on this fo awhile There is no inverse in the equation. the |...| means absolute value. We perform what is indicated in the |,,| and that is …
2. ### maths-complex numbers

by using the substitution w = z^3, find all the solutions to z^6 - 8z^3 +25 = 0 in complex numbers, and describe them in polar form, using @(theta) to denote the angle satisfying tan@ = 3/4 ( note simply leave @ as it is, don't calculate …
3. ### Algebra

I have some problems that I am having trouble with and I have some that need checking please. Thanks! Solve the equation. 4. (x+7/4)=2(x-1/6) Find all the value(s) of x that make thedenominator(s) zero. Then solve the equation. 6. …
4. ### Algebra

Solve the absolute value equation. I I will represent absolute value I 2x-4 I -1= 11 Would the solutions be x=8 and x= -4?
5. ### Algebra

Solve the absolute value equation. I I will represent absolute value I y+3 I +5=2y Would the solutions be 8=y and y=2/3?
6. ### Math

Find the real solutions, if any, to this equation. Use the quadratic formula. 3x^2+5x-7 =0 I get stuck when I plug in and simplify them all... I got up to -5+_ sqrt109 /5
7. ### Chemistry Lab

So we prepared 100mL of .1M solutions of these solutions, and found the pH and H+ contents: pH H+ HCl: .57 .270 HNO3: .58 .260 H2SO4: 1.29 .051 HC2H3O2: 2.44 .0036 H2C2O4: .84 .145 HKC6H4(CO2)2: 4.13 7.41 Now I'm stuck on this question. …
8. ### Algebra 1

Solve each equation. Rewrite the equation as two cases. 1). The absolute value of x - 2 minus 3 equals 5. A: I know one of the solutions is 10. However, I do not believe there is a second solution. 2). The absolute value of x + 7 increased …
9. ### Math (Solving Equations)

Find all solutions (answers should be given in simplified form). Some answers may involve the number i. *I will use lowercase l to represent absolute value lines.* 3 lx-1l + 4 = 19 We've never really worked with absolute value in solving …
10. ### Math

1. Find all complex numbers z such that |z-1|=|z+3|=|z-i|, if i is the square root of -1. I got to the part where you graph the equations, but got stuck. 2. Find all cube roots of 8i. I know there are 3 answers, but I am stuck.

More Similar Questions