Answer:

Step-by-step explanation:
The rate of change of the function f(x) from point
to point
can be calculated using formula

Given

From the graph of the function

So, the rate of change is

Answer:
f^-1(x)= 1/3+In(x)/3 In(2)
Step-by-step explanation:
Step-by-step explanation:
the error:
it is stated that
subtract (5x)/(x+7) from both sides

multiply both sides by x + 7
7(x+7) = 49x
7x + 49 = 49x
subtract 7x from both sides to isolate x and its coefficient
49 = 42x
thus, this is only true when 49 = 42x. in order for these two equations to be equal, they must <em>always </em>be true, so this is wrong
the solution:
we want to express 7/x as (something) / (x+7). to do this, we can multiply 7/x by 1.
anything divided by itself = 1. thus, if we multiply both the numerator and the denominator by something that turns x into (x+7), we can do what we want to do.
(x+7)/x * x turns x into (x+7), so we multiply both the numerator and denominator by (x+7)/x to get

substitute this for 7/x in our original problem
