If h(x) is the inverse of f(x), what is the value of h(f(x))? OO 0 1 f(x)
2 answers:
<h2>Answer:</h2>
If h(x) is the inverse of f(x), then the value of h(f(x)) is:
x
<h2>Step-by-step explanation:</h2>Inverse of a function-
The inverse of a given function is a function which reverses the action of the other function.
Also, the composition of a function and it's inverse no matter in which order they are applied always gives us the identity function.
( Identity function-- Identity function is a function which when applied to some other function always retains that function )
i.e. If h(x) is the inverse of f(x) ; then we have:
You might be interested in
Answer:
Step-by-step explanation:
Given that there is a function of x,
Let us find first and second derivative for f(x)
When f'(x) =0 we have tanx = 1 and hence
a) f'(x) >0 for I and III quadrant
Hence increasing in
and decreasing in
Hence f has a maxima at x = pi/4 and minima at x = 3pi/4
b) Maximum value =
Minimum value =
c)
f"(x) =0 gives tanx =-1
are points of inflection.
concave up in (3pi/4,7pi/4)
and concave down in (0,3pi/4)U(7pi/4,2pi)