Answer:
Step-by-step explanation:
- (18u^2 - 142u - 11) ÷ (u - 8)
- 18u^2 - 142u - 11 =
- 18u^2 - 8*18u + 2u - 11 =
- 18u(u - 8) + 2u - 16 + 5 =
- 18u(u - 8) + 2(u - 8) + 5 =
- (18u + 2)(u - 8) + 5
- (18u^2 - 142u - 11) ÷ (u - 8) = 18u + 2 + 5/(u - 8)
Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
For this case the new area is the sum of two areas:
Area = rectangular gym + weight room
Area = (4x² + 520) ft²
In addition, we know that
rectangular gym = 4x ^ 2 ft²
Therefore, the term 520 represents a new weight room
answer
The constant term represent a new weight room
