Answer: D) Yes, because each x value corresponds to exactly one y value
The table doesn't mention x, but usually x is in the left column. Since we don't have any repeated x values here, this means each input goes to exactly one output. So we have a function.
Visually if you plotted all the points, you'll see the graph passes the vertical line test.
Good evening ,
Answer:
The inverse of the function y = x² - 12 is
x = √(y + 12)
Step-by-step explanation:
for y ≥ -12 :
x² - 12 = y ⇔ x² = y + 12 ⇔ x = √(y + 12).
:)
Answer:
a) 7/4 b) 5 c) 2
Step-by-step explanation:
Logrithmic Rule for a and b
Let a, M, N be positive real numbers.
a)
logaM - logaN = loga(M/N)
log9(7) - log9(4) = log9 (7/4)
b)
logaM + logaN = logaMN
log2 (x) + log2(9) = log2(45)
x9=45
(x9)/9 = 45/9
x = 5
c)
Change of base formula.
logb(x)=logd(b)/logd(x)
x log6(5) = log6(25) divide each term by log6(5)
x log6(5) / log6(5) = log6(25) / log6(5) Cancel common factor log6(5)
x = log6(25) / log6(5)
x = log6(5^2) / log6(5)
Expand log6(5^2) by moving 2 outside the logarithm.
x = 2log6(5) / log6(5) cancel the like term log6(5)
x = 2
6,135.9 is the correct answer