Answer:
sqrt(1/2x+6) = h^-1 (x)
Step-by-step explanation:
To find the inverse, we exchange x and y and then solve for y
y = 2x^2 -12
Exchange x and y
x = 2y^2 -12
Solve of y
Add 12 to each side
x+12 = 2y^2
Divide by 2
(x+12) /2 = 2y^2/2
(x+12)/2 =y^2
1/2 x+6 = y^2
Take the square root of each side
sqrt(1/2x+6) = sqrt(y^2)
sqrt(1/2x+6) = y
This is the inverse
6 divided by
is the same as 6/1 multiplied by 9/8, which gives us 7 as the whole answer. therefore, I think number 1 and 4 are the correct selections
Answer:
2.(b) w= 3
3. x= -3 or x= 3
Step-by-step explanation:
2.(b) <u>Method 1:</u>

Simplify:

×5 on both sides:

Expand:

Bring constants to 1 side, w terms to the other:

Simplify:

Divide both sides by 3:

<u>Method 2:</u>

Multiply by 5 throughout:

Expand:

Simplify:

+9 on both sides:

-4w on both sides:

Simplify:

Divide by 3 on both sides:

3. 
Multiply by 3x on both sides:

Expand:

Simplify:

Divide by 6 on both sides:

-9 on both sides:

Factorise:
*Since a²-b²= (a +b)(a -b),

Thus,
x +3= 0 or x -3= 0
x= -3 or x= 3
456.......................