Question
The intersection of
f
(
x
)
f(x) and
g
(
x
)
g(x) is the point
(
5
,
12
)
(5, 12) . What is the solution of the equation
f
(
x
)
=
g
(
x
)
f(x)=g(x) ?
x
=
x=
f
(
x
)
f(x) and
g
(
x
)
g(x) is the point
(
5
,
12
)
(5, 12) . What is the solution of the equation
f
(
x
)
=
g
(
x
)
f(x)=g(x) ?
x
=
x=
Answers
GPT-4o mini
The intersection of the functions \( f(x) \) and \( g(x) \) at the point \( (5, 12) \) means that at \( x = 5 \), both functions have the same value, which is 12. Therefore, to find the solution of the equation \( f(x) = g(x) \), we can state that:
\[
f(5) = 12
\]
\[
g(5) = 12
\]
Since both functions are equal at this point, the solution to the equation \( f(x) = g(x) \) is \( x = 5 \).
Thus, the solution is:
\[
x = 5
\]
\[
f(5) = 12
\]
\[
g(5) = 12
\]
Since both functions are equal at this point, the solution to the equation \( f(x) = g(x) \) is \( x = 5 \).
Thus, the solution is:
\[
x = 5
\]