Use symmetry to graph the inverse of the function.
1 answer:
<h2>Answer:</h2>
a. is the correct option
<h2>Step-by-step explanation:</h2>The graph of a function and its inverse function
are related to each other. The relationship between these two graphs can be explained by taking a point
that is on the graph of
, then point
must lie on the graph
and vice versa meaning that the graph of
is a reflection of
in the line
. The only graph that meet this requirement is the option a. For instance, the point
is on the graph of
while the point
is on the graph of
as indicated below.
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We have that
using a graph tool
see the attached figure
case A) <span>f(x) = 4^x
</span>this function is not <span>represented in the graph
case B) </span><span>f(x) = 4^(x) − 3
</span>this function is not represented in the graph
case C) <span>f(x) = 4^(x) + 3
</span>this function is represented in the graph
case D) <span>f(x) = 4^(x + 3)
</span>this function is not represented in the graph
the answer is
case C) f(x) = 4^(x) + 3
using a graph tool
see the attached figure
case A) <span>f(x) = 4^x
</span>this function is not <span>represented in the graph
case B) </span><span>f(x) = 4^(x) − 3
</span>this function is not represented in the graph
case C) <span>f(x) = 4^(x) + 3
</span>this function is represented in the graph
case D) <span>f(x) = 4^(x + 3)
</span>this function is not represented in the graph
the answer is
case C) f(x) = 4^(x) + 3