The answer is D. In the function

, A value of 5 would make the denominator 0. This is undefined, so 5 is excluded.
Answer: D The square root of 100 is 10. Or,
√100 = 10
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
To obtain f(g(x)) substitute x = g(x) into f(x), that is
f(10 - 5x)
= (10 - 5x)² + 5 ← expand (10 - 5x)²
= 100 - 50x - 50x + 25x² + 5 ← collect like terms
= 25x² - 100x + 105 → D
Answer:
Step-by-step explanation:
<u>Find zeros first:</u>
- x² + x - 6 = x² + 3x - 2x - 6 = x(x + 3) - 2(x + 3) = (x - 2)(x + 3)
- x = 2, x = -3, x = 7 (but x ≠ 7 as no division by zero)
<u>We have 4 intervals:</u>
- x ≤ - 3, three negatives, the result is negative or zero
- -3 ≤ x ≤ 2, two negatives and one positive, the result is positive or zero
- 2 ≤ x < 7, two positives and one negative, the result is negative or zero
- x > 7, three positives, the result is positive or zero
<u>The solution is:</u>
Correct choice is A