Answer:
0, 3 , 8
Step-by-step explanation:
substitute n = 1, 2, 3 into the pattern rule
T₁ = 1² - 1 = 1 - 1 = 0
T₂ = 2² - 1 = 4 - 1 = 3
T₃ = 3² - 1 = 9 - 1 = 8
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.
Answer:
Step-by-step explanation:
Since x=-4 plug in the -4 into the equation to find y,
-5(-4)-4y=16
20-4y=16 -20 -20 __________
-4y=-4
-4y/-4=-4/-4
___________
y=1
So now you found both x and y so plug in both now to check if both are correct.
-5(-4)-4(1)=16
20-4=16
16=16
So both y and x are correct.
Hope this helps!:)
rational irrational irrational
