Answer:
-3x-18
Step-by-step explanation:
The expression -3(x+6) means that -3 is multiplied with x and 6 in the brackets so the answer would be
G(x) = sqrt(x + 3) is obtained from f(x) = sqrt(x) by shifting the graph of f, 3 units to the left.
Answer:
Slope is positive for all x, so always increasing
Step-by-step explanation:
Increasing/decreasing depends on the slope of the function, which is f'
f'(x) = 9x² + 18x + 25
If f'(x) > 0 for all x, then his claim is correct (increasing for all x)
If there's even 1 x-value for which f'(x) is not positive, his claim is incorrect
f'(x) is a quadratic function.
9x² + 18x + 25
9(x² + 2x) + 25
9(x² + 2(x)(1) + 1² - 1²) + 25
9(x + 1)² - 9 + 25
9(x + 1)² + 16
Since the minimum value of f' is 16, it's always positive.
Hence, the claim is correct
I'm not sure if those numbers are negatives or thats just a hyphen but:
N(-5/8)=-0.40
Division is always the opposite of multiplication
-0.40/(-5/8)=0.64
N=0.64
