Answer:
(f + g)(x) = 4x + 1
Step-by-step explanation:
Given f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x):
We can rewrite (f + g)(x) as f(x) + g(x), and solve the composite functions through addition:
f(x) + g(x) = (3x - 1) + (x + 2)
Combine like terms:
f(x) + g(x) = 3x + x + 2 - 1 = 4x + 1
Therefore, (f + g)(x) = 4x + 1.
Please mark my answers as the Brainliest if you find my explanations/solution helpful :)
The barn, the ground, and the ladder form a right triangle. If we represent the height on the barn by y, then the Pythagorean theorem tells us
... hypotenuse² = (side1)² + (side2)²
... (12 ft)² = (3 ft)² + y² . . . . . . . . . . . . fill in given information
... 144 ft² - 9 ft² = y² = 135 ft² . . . . . .subtract (3 ft)²
... y = 3√15 ft ≈ 11.6 ft . . . . . . . . . . . take the square root
The ladder reaches 11.6 feet high on the barn.
Answer:
they both = 100
Step-by-step explanation:
Answer:
± 4i
Step-by-step explanation:
= 
= 
× ×
= 4i → [ = i ]
Let's use the furthest left point on the triangle to figure out the translation.
Blue triangle = (-5,1)
Black triangle = (-3,-1)
To get from -5 to -3 we moved the triangle 2 units to the right, which means that we added 2.
To get from 1 to -1, we moved the triangle 2 units down, which means we subtracted 2.
Rule: {2, -2}
Hope this helps!
