ADULT
1 answer:
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Answer:
y = 192
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 16 and z = 2 when x = 42
k = =
= 336
y = ← equation of variation
When x = 14 and z = 8, then
y = = 192
Answer:
f⁻¹(x) = + 7
Step-by-step explanation:
The inverse of a function reverses the operations performed by the function in the question such if f(x) = y, then we have, f⁻¹(y) = x, which reverses the operation of the first function.
The inverse of a function f(x) = 4·㏒₂(x - 7) is found as follows;
We have;
y = 4·㏒₂(x - 7)
We substitute x for y to get;
x = 4·㏒₂(y - 7) which gives;
x/4 = ㏒₂(y - 7)
= y - 7
y = + 7
Therefore;
f⁻¹(x) = + 7.