Question

Find the inverse of the following function.

g(x)=1x−4
𝑔
(
𝑥
)
=
1
𝑥
−
4
(1 point)
Responses

g−1(x)=−2x−1
𝑔
−
1
(
𝑥
)
=
−
2
𝑥
−
1
g inverse of x is equal to negative the fraction with numerator 2 and denominator x minus 1

g−1(x)=1x+4
𝑔
−
1
(
𝑥
)
=
1
𝑥
+
4
g inverse of x is equal to the fraction with numerator 1 and denominator x plus 4

g−1(x)=2x+1
𝑔
−
1
(
𝑥
)
=
2
𝑥
+
1
g inverse of x is equal to the fraction with numerator 2 and denominator x plus 1

g−1(x)=1x+2

Answer 1

[AI-generated answer — Bot GPT 3.5]

𝑔

−
1
(
𝑥
)
=
1
𝑥
+
4

The correct inverse of the function g(x) = 1/(x-4) is g^-1(x) = 1/(x+4).