Hello! The first thing you want to do is add 4 to both sides, which gives you: 7over9x - 4 + 4 = 24 + 4. Then Simplify: 7over9x = 28. Then you just multiply both sides by the number 9! 9 times 7over9 = 28 times 9. Simplfy again! 7xover7 = 252over7. Simply that fraction, and you get x=36.
~I hope this helped!
I am, yours most sincerely,
Joshua A. Bunn
Answer:
A.) gf(x) = 3x^2 + 12x + 9
B.) g'(x) = 2
Step-by-step explanation:
A.) The two given functions are:
f(x) = (x + 2)^2 and g(x) = 3(x - 1)
Open the bracket of the two functions
f(x) = (x + 2)^2
f(x) = x^2 + 2x + 2x + 4
f(x) = x^2 + 4x + 4
and
g(x) = 3(x - 1)
g(x) = 3x - 3
To find gf(x), substitute f(x) for x in g(x)
gf(x) = 3( x^2 + 4x + 4 ) - 3
gf(x) = 3x^2 + 12x + 12 - 3
gf(x) = 3x^2 + 12x + 9
Where
a = 3, b = 12, c = 9
B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)
To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula
Y = 3x + 3
X = 3y + 3
Make y the subject of formula
3y = x - 3
Y = x/3 - 3/3
Y = x/3 - 1
Therefore, g'(x) = x/3 - 1
For g'(12), substitute 12 for x in g' (x)
g'(x) = 12/4 - 1
g'(x) = 3 - 1
g'(x) = 2.
X² n = 1,2,3,4,5
1² = 1
2²= 4
3²= 9
Hi,
The answer is D, (y = 8x)
Hope this helps.
r3t40
Answer:
2y - 9
Step-by-step explanation:
number = y
2 × y - 9
2 × y can be simplified to 2y.
2y - 9
