Step-by-step explanation:
∫₀² x f(x²) dx
If u = x², then du = 2x dx, and ½ du = x dx.
When x = 0, u = 0. When x = 2, u = 4.
∫₀⁴ ½ f(u) du
½ (16)
8
Answer:
what you arest mine but the other one says no answer what
Step-by-step explanation:
The answers are
f
o
g
(
x
)
=
−
2
x
+
23
and
g
o
f
(
x
)
=
−
2
x
+
5
Explanation:
f
(
x
)
=
−
2
x
+
11
g
(
x
)
=
x
−
6
f
o
g
(
x
)
=
f
(
g
(
x
)
)
=
f
(
x
−
6
)
=
−
2
(
x
−
6
)
+
11
=
−
2
x
+
12
+
11
=
−
2
x
+
23
g
o
f
(
x
)
=
g
(
f
(
x
)
)
=
g
(
−
2
x
+
11
)
=
−
2
x
+
11
−
6
=
−
2
x
+
5
I think that the equations speak by themselves.
Of course,
f
o
g
(
x
)
≠
g
o
f
(
x
)
Answer:
x = 9
Step-by-step explanation:
Simplifying
6x + -24 = 2x + 12
Reorder the terms:
-24 + 6x = 2x + 12
Reorder the terms:
-24 + 6x = 12 + 2x
Solving
-24 + 6x = 12 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-24 + 6x + -2x = 12 + 2x + -2x
Combine like terms: 6x + -2x = 4x
-24 + 4x = 12 + 2x + -2x
Combine like terms: 2x + -2x = 0
-24 + 4x = 12 + 0
-24 + 4x = 12
Add '24' to each side of the equation.
-24 + 24 + 4x = 12 + 24
Combine like terms: -24 + 24 = 0
0 + 4x = 12 + 24
4x = 12 + 24
Combine like terms: 12 + 24 = 36
4x = 36
Divide each side by '4'.
x = 9
Simplifying
x = 9
