Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 1
Find the inverse of a linear function
For a given input value
a
a
a
, the function
h
h
h
outputs a value
b
b
b
to satisfy the following equation.
\newline
3
a
−
5
=
−
4
b
+
1
3a-5=-4b+1
3
a
−
5
=
−
4
b
+
1
\newline
Write a formula for
h
(
a
)
h(a)
h
(
a
)
in terms of
a
a
a
.
\newline
h
(
a
)
=
h(a)=
h
(
a
)
=
Get tutor help
For a given input value
n
n
n
, the function
h
h
h
outputs a value
m
m
m
to satisfy the following equation.
\newline
m
+
1
=
−
2
(
n
+
6
)
m+1=-2(n+6)
m
+
1
=
−
2
(
n
+
6
)
\newline
Write a formula for
h
(
n
)
h(n)
h
(
n
)
in terms of
n
n
n
.
\newline
h
(
n
)
=
h(n)=
h
(
n
)
=
Get tutor help
For a given input value
b
b
b
, the function
g
g
g
outputs a value
a
a
a
to satisfy the following equation.
\newline
a
−
7
=
3
(
b
+
2
)
a-7=3(b+2)
a
−
7
=
3
(
b
+
2
)
\newline
Write a formula for
g
(
b
)
g(b)
g
(
b
)
in terms of
b
b
b
.
\newline
g
(
b
)
=
g(b)=
g
(
b
)
=
Get tutor help
For a given input value
u
u
u
, the function
h
h
h
outputs a value
v
v
v
to satisfy the following equation.
\newline
4
u
+
8
v
=
−
3
u
+
2
v
4u + 8v = -3u + 2v
4
u
+
8
v
=
−
3
u
+
2
v
\newline
Write a formula for
h
(
u
)
h(u)
h
(
u
)
in terms of
u
u
u
.
\newline
h
(
u
)
=
□
h(u)=\square
h
(
u
)
=
□
Get tutor help
For a given input value
v
v
v
, the function
h
h
h
outputs a value
u
u
u
to satisfy the following equation.
\newline
−
2
u
+
6
v
=
9
-2u+6v=9
−
2
u
+
6
v
=
9
\newline
Write a formula for
h
(
v
)
h(v)
h
(
v
)
in terms of
v
v
v
.
\newline
h
(
v
)
=
□
h(v)=\square
h
(
v
)
=
□
Get tutor help
For a given input value
v
v
v
, the function
h
h
h
outputs a value
u
u
u
to satisfy the following equation.
\newline
−
2
u
+
6
v
=
9
-2u + 6v = 9
−
2
u
+
6
v
=
9
\newline
Write a formula for
h
(
v
)
h(v)
h
(
v
)
in terms of
v
v
v
.
\newline
h
(
v
)
=
h(v) =
h
(
v
)
=
Get tutor help
For a given input value
x
x
x
, the function
f
f
f
outputs a value
y
y
y
to satisfy the following equation.
\newline
y
+
6
=
5
(
x
−
4
)
y+6=5(x-4)
y
+
6
=
5
(
x
−
4
)
\newline
Write a formula for
f
(
x
)
f(x)
f
(
x
)
in terms of
x
x
x
.
\newline
f
(
x
)
=
f(x)=
f
(
x
)
=
Get tutor help
For a given input value
x
x
x
, the function
g
g
g
outputs a value
y
y
y
to satisfy the following equation.
\newline
−
4
x
−
6
=
−
5
y
+
2
-4x-6=-5y+2
−
4
x
−
6
=
−
5
y
+
2
\newline
Write a formula for
g
(
x
)
g(x)
g
(
x
)
in terms of
x
x
x
.
\newline
g
(
x
)
=
g(x)=
g
(
x
)
=
Get tutor help
For a given input value
b
b
b
, the function
f
f
f
outputs a value
a
a
a
to satisfy the following equation.
\newline
4
a
+
7
b
=
−
52
4a+7b=-52
4
a
+
7
b
=
−
52
\newline
Write a formula for
f
(
b
)
f(b)
f
(
b
)
in terms of
b
b
b
.
\newline
f
(
b
)
=
f(b)=
f
(
b
)
=
Get tutor help
For a given input value
r
r
r
, the function
h
h
h
outputs a value
q
q
q
to satisfy the following equation.
\newline
q
−
10
=
6
(
r
+
1
)
q-10=6(r+1)
q
−
10
=
6
(
r
+
1
)
\newline
Write a formula for
h
(
r
)
h(r)
h
(
r
)
in terms of
r
r
r
.
\newline
h
(
r
)
=
h(r)=
h
(
r
)
=
Get tutor help
For a given input value
n
n
n
, the function
g
g
g
outputs a value
m
m
m
to satisfy the following equation.
\newline
3
m
−
5
n
=
11
3m-5n=11
3
m
−
5
n
=
11
\newline
Write a formula for
g
(
n
)
g(n)
g
(
n
)
in terms of
n
n
n
.
\newline
g
(
n
)
=
g(n)=
g
(
n
)
=
Get tutor help
For a given input value
q
q
q
, the function
g
g
g
outputs a value
r
r
r
to satisfy the following equation.
\newline
−
7
q
+
12
r
=
3
q
−
4
r
-7q + 12r = 3q - 4r
−
7
q
+
12
r
=
3
q
−
4
r
\newline
Write a formula for
g
(
q
)
g(q)
g
(
q
)
in terms of
q
q
q
.
\newline
g
(
q
)
=
g(q) =
g
(
q
)
=
Get tutor help
For a given input value
r
r
r
, the function
g
g
g
outputs a value
q
q
q
to satisfy the following equation.
\newline
10
q
−
3
r
=
14
10q - 3r = 14
10
q
−
3
r
=
14
\newline
Write a formula for
g
(
r
)
g(r)
g
(
r
)
in terms of
r
r
r
.
\newline
g
(
r
)
=
g(r) =
g
(
r
)
=
Get tutor help
For a given input value
m
m
m
, the function
f
f
f
outputs a value
n
n
n
to satisfy the following equation.
\newline
7
m
+
2
=
6
n
−
5
7m+2=6n-5
7
m
+
2
=
6
n
−
5
\newline
Write a formula for
f
(
m
)
f(m)
f
(
m
)
in terms of
m
m
m
.
\newline
f
(
m
)
=
f(m)=
f
(
m
)
=
Get tutor help
For a given input value
x
x
x
, the function
f
f
f
outputs a value
y
y
y
to satisfy the following equation.
\newline
−
5
x
−
4
y
=
−
8
-5x-4y=-8
−
5
x
−
4
y
=
−
8
\newline
Write a formula for
f
(
x
)
f(x)
f
(
x
)
in terms of
x
x
x
.
\newline
f
(
x
)
=
f(x)=
f
(
x
)
=
Get tutor help
For a given input value
v
v
v
, the function
f
f
f
outputs a value
u
u
u
to satisfy the following equation.
\newline
u
−
5
=
−
4
(
v
−
1
)
u-5=-4(v-1)
u
−
5
=
−
4
(
v
−
1
)
\newline
Write a formula for
f
(
v
)
f(v)
f
(
v
)
in terms of
v
v
v
.
\newline
f
(
v
)
=
f(v)=
f
(
v
)
=
Get tutor help
For a given input value
a
a
a
, the function
f
f
f
outputs a value
b
b
b
to satisfy the following equation.
\newline
−
3
a
+
6
b
=
a
+
4
b
-3a+6b=a+4b
−
3
a
+
6
b
=
a
+
4
b
\newline
Write a formula for
f
(
a
)
f(a)
f
(
a
)
in terms of
a
a
a
.
\newline
f
(
a
)
=
f(a)=
f
(
a
)
=
Get tutor help
Combine the like terms to create an equivalent expression.
\newline
4
t
−
t
+
2
=
0
4t - t + 2 = \boxed{\phantom{0}}
4
t
−
t
+
2
=
0
Get tutor help
For a given input value
m
m
m
, the function
g
g
g
outputs a value
n
n
n
to satisfy the following equation.
\newline
−
2
m
−
5
n
=
7
m
−
3
n
-2m-5n=7m-3n
−
2
m
−
5
n
=
7
m
−
3
n
\newline
Write a formula for
g
(
m
)
g(m)
g
(
m
)
in terms of
m
m
m
.
\newline
g
(
m
)
=
g(m)=
g
(
m
)
=
Get tutor help
Find the inverse of the function.
y
=
x
+
3
y = x + 3
y
=
x
+
3
Write your answer in the form
a
x
+
b
ax + b
a
x
+
b
. Simplify any fractions.
y
=
y =
y
=
_____
Get tutor help
Previous
1
2
3
