3 years ago

If f(x)=5x^3 and g(x)=x+1 find (fxg)(x)

1 answer:

5 0

(f o g)(x) = f(g(x)) so we plug in the equation for g(x) where the x-variable is in f(x).

5(x + 1)³
5[(x + 1)(x + 1)(x + 1)]
5[(x² + 2x + 1)(x + 1)]
5(x³ + 3x² + 3x + 1)

(f o g)(x) = 5x³ + 15x² + 15x + 5

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<img src="https://tex.z-dn.net/?f=37x%3D9x%2B4" id="TexFormula1" title="37x=9x+4" alt="37x=9x+4" align="absmiddle" class="latex-

Gre4nikov [31]

4
37x=9x+4
STEPS TO SOLVE
1
Subtract
9
x
9x from both sides of the equation

37
x
=
9
x
+
4
37x=9x+4
37
x
−
9
x
=
9
x
+
4
−
9
x
37x−9x=9x+4−9x
2
Simplify

Combine like terms
37
x
−
9
x
=
9
x
+
4
−
9
x
37x−9x=9x+4−9x
28
x
=
9
x
+
4
−
9
x
28x=9x+4−9x
Combine like terms
28
x
=
4
28x=4
3
Divide both sides of the equation by the same factor

28
x
=
4
28x=4
28
x
28
=
4
28
28
28x

=
28
4

4
Simplify

Simplify fraction
28
x
28
=
4
28
28
28x

=
28
4

x
=
4
28
x=
28
4

Divide the numbers
x
=
1
7
x=
7
1

SOLUTION

8 0

3 years ago

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DaniilM [7]

Direct Proof is the answer.

3 0

4 years ago

Read 2 more answers

Corey buys 4.16 pounds of apples for $5.20 how much does one pound cost

blondinia [14]

<span>$5.20 / 4.16 = $1.25 per pound

answer

it cost $1.25 one pound</span>

3 0