Answer:
Step-by-step explanation:
given a point 
the equation of a line with slope m that passes through the given point is
or equivalently
.
Recall that a line of the form 
, the y intercept is b and the x intercept is 
.
So, in our case, the y intercept is 
and the x intercept is 
.
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph 
. Which means that 
The slope of the tangent line is given by the derivative of the function evaluated at 
. Using the properties of derivatives, we get
. So evaluated at we get 
Replacing the values in our previous findings we get that the y intercept is
The x intercept is
The triangle in consideration has height 
and base 
. So the area is
So regardless of the point we take on the graph, the area of the triangle is always 2.
Correct question is;
What function is the inverse of the exponential function y = 1.5^(x)?
Answer:
y = log_1.5_x
Step-by-step explanation:
The inverse of exponential functions is usually written in form of logarithm.
For example inverse of y = p^(x) will be written as; y = log_p_(x)
Similarly applying this same pattern to our exponential function y = 1.5^(x), we have the inverse as;
y = log_1.5_x
EHRP, EHFG, EFPQ Does that make sense?
