Question

Let f be the function defined by f(x)= -2 + lnx^2.
a. for what real numbers x is f defined?
b. find the zeros of f.
c.write an equation for the line tangent to the graph of f at x=1

Answer 1

defined for all numbers except \(0\) because you cannot take the log of zero

Answer 2

\[-2+\ln(x^2)=0\]
\[\ln(x^2)=2\]
\[2\ln(x)=2\]
\[\ln(x)=1\]\[x=e\]