Answer:
- g(x) = x^2 +2
- f(g(x)) = 1/(x^2 -3)
Step-by-step explanation:
A. g(x) is given:
g(x) = x^2 +2
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B. f(g(x)) = f(x^2 +2) = 1/((x^2 +2) -5) . . . . substitute for g(x) and simplify
f(g(x)) = 1/(x^2 -3)
2 x 10000 = 20000
2 x 10 x 10 x 10 x 10
The answer is 2 x 10^4
A1. 12 i.e option D
A2. 3n-7 i.e option A
A3. -6n+20 i.e option D
A4. -70 i.e option C
Step-by-step explanation:
aₙ = a₁ + (n - 1) × d
aₙ = the nᵗʰ term in the sequence
a₁ = the first term in the sequence
d = the common difference between terms
Using the above formula to solve the first part, we have :
For the second part, we have :
For the third part, we have :
For the fourth part, we have :
You have to add 75 to Both sides and 50+75= 125
So q=125. Hope this helped!
So, the area of a parallelogram is the base times the height or

a being area
b being base
h being height
the height is 8 cm and the base is 15 cm
(remember: the heght should be perpendicular to the base)
so we plug in 8 for h and 15 for b to get

and 15 × 8 = (10 × 8) + (5 × 8) = 80 + 40 =120
So the answer is 120