is the algebraic representation for an exponential function
Step-by-step explanation:
Given:
f(x + 1) = 4.f(x)
f(3) = 16
To Find:
Algebraic representation for an exponential function=?
Solution:
From the formula f(x+n) = f(x)
when n= 1, x= 3
f(3+1)= 4(1)f(3)
f(4)= 4f(3)
Substituting the value of f(3)
f(4)= 4f(3)
f(4)= 4 x 16
f(4)= 64
f(4)=
f (5) = x 16
f (5) = x
f(5)=
Similarly,
F(6) =
Hence,
Answer:
and
Step-by-step explanation:
It was given that the points and
are on the graph of the function
.
If is the inverse function of
, then
will take the y-values as inputs and give the x-values as outputs.
Hence we will have the ordered pairs and
on g.
In other words, f and g are symmetric about the line . This implies that when we reflect the points
and
in the line
we will obtain
and
.
This point must lie on g.