Answer:
w = 1.6
Step-by-step explanation:
Given w varies inversely as then the equation relating them is
w = ← k is the constant of variation
To find k use the condition when x = 4, w = 4
k = w = 4 ×
= 4 × 2 = 8
w = ← equation of variation
When x = 25, then
w = =
= 1.6
Ans(a):
Given function is
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4
We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(e):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation
4x-3x=-1-16
x=-17
Hence final answer is x=-17