Step-by-step explanation:
f(x) = y= -x²-x+6
When y is max, f'(x) = 0
f'(x) = -2x-1
Equating to 0,
-2x-1= 0
x= -1/2
Put the value of x in f(x)
y = -(-1/2)² -(-1/2) +6
= -1/4+1/2+6
= 6+1/2
y= 13/2
No 5/8=62.5% and that means 5/8 is greater that 60%
Answer:
it is basically a rise, the 2 is positive so goes up from left to right, then a fall, bc -2 goes down from left to right
Step-by-step explanation:
Answer:
Unit fractions play an important role in modular arithmetic, as they may be used to reduce modular division to the calculation of greatest common divisors. Specifically, suppose that we wish to perform divisions by a value x, modulo y. In order for division by x to be well defined modulo y, x and y must be relatively prime.
Step-by-step explanation:
Answer:
(f o g)(x) = 4x⁴ - 96x + 37
(g o f)(x) = 16x⁴ + 8x² - 2
Step-by-step explanation:
Since, the given functions are,
f(x) = 4x² + 1
g(x) = x² - 3
(f o g)(x) = f[g(x)]
f[g(x)] = 4(x² - 3)² + 1
= 4(x⁴ - 24x + 9) + 1
= 4x⁴ - 96x + 36 + 1
= 4x⁴ - 96x + 37
(g o f)(x) = g[f(x)]
= (4x² + 1)²- 3
= 16x⁴ + 8x² + 1 - 3
= 16x⁴ + 8x² - 2
Therefore, out of the given options only two expressions are correct.
