Answer:
f(-7)=0.
f(2)=-9/5.
f(3) doesn't exist because 3 isn't in the domain of the function.
Step-by-step explanation:
is the given function.
We are asked to find:
.
f(-7) means to replace x in the expression called f with -7:
Evaluate 
at 
So f(-7)=0.
f(2) means to replace x in the expression called f with 2:
Evaluate at 
So f(2)=-9/5
f(3) means to replace x in the expression called f with 3:
Evaluate at 
Division by 0 is not allowed so 3 is not in the domain of our function.
Question:
Approximate log base b of x, log_b(x).
Of course x can't be negative, and b > 1.
Answer:
f(x) = (-1/x + 1) / (-1/b + 1)
Step-by-step explanation:
log(1) is zero for any base.
log is strictly increasing.
log_b(b) = 1
As x descends to zero, log(x) diverges to -infinity
Graph of f(x) = (-1/x + 1)/a is reminiscent of log(x), with f(1) = 0.
Find a such that f(b) = 1
1 = f(b) = (-1/b + 1)/a
a = (-1/b + 1)
Substitute for a:
f(x) = (-1/x + 1) / (-1/b + 1)
f(1) = 0
f(b) = (-1/b + 1) / (-1/b + 1) = 1
Answer:
x = -1
Step-by-step explanation:
The answer in the 1st question is 15 in wide.
first to see what we need to multiply the 3 by we need to multiply 3.5, 3.5 x 5 = 17.5
so we know we need to multiply 3 by 5 which is 15 in wide
The answer in the 2nd question is 4 ft x 6
Every 0.5 cm is 6 inches = 1 cm is 1 ft
since the drawing is 6 cm wide the flag will be 6 ft wide
since the drawing is 4 cm long it is 4 ft long
