SOLUTION: Hello,
I have been trying for hours to help my son with his Algebra I homework and I am stuck on one problem. The problem is this:
If f(x)=4x-2 and g(x)=x^2+2, then find the fol
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Question 669151: Hello,
I have been trying for hours to help my son with his Algebra I homework and I am stuck on one problem. The problem is this:
If f(x)=4x-2 and g(x)=x^2+2, then find the following g(2)=________
This is what I have done thus far:
1. f(g(1))
g(1)=1^2+2 (1)
g(1)=3
f(g(1))=f(3)
f(3)=4(3)-2
f(3)=12-2
f(g(1))=10
2. g(f(1))
f(1)=4(10)-2
f(1)=40-2
f(1)=8
g(f(1)=g(38)
g(38)=38^2-2(1)
g(38)=76-2
g(38)=74
3. f(g(x))=f(x^2+2x)
f(x^2+2)=4(x^2+2x)-2=8x^2+8x-2
Is this correct?
Found 2 solutions by ReadingBoosters, MathTherapy:
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Starting with
f(x) = 4x -2
...
Find g(2)
(g(2)) = 2^2 + 2
= 4 + 2
g(2)=
...
EDITED TO ADDRESS OTHER QUESTIONS
f(g(1)) =
start with g(1)
g(1) = 1^2 + 2
= 3
...
f(g(1) = 4(___) - 2
=4(3) - 2
= 12 - 2
f(g(1))= 10
...
g(f(1)) = (___)^2 + 2
start with f(1)
f(1) = 4(1) - 2
= 4 - 2
= 2
...
g(f(1)) = (___)^2 + 2
= 2^2 + 2
= 4 + 2
g(f(1)) = 6
...
f(g(x)) = 4(____) - 2
insert
=
Distribute the 4
=4x^2 + 8 - 2
f(g(x))=4x^2 + 6
.....
Delighted to help.
-Reading Boosters
Wanting for others what we want for ourselves.
www.MyHomeworkHelpers.com
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Hello,
I have been trying for hours to help my son with his Algebra I homework and I am stuck on one problem. The problem is this:
If f(x)=4x-2 and g(x)=x^2+2, then find the following g(2)=________
This is what I have done thus far:
1. f(g(1))
g(1)=1^2+2 (1)
g(1)=3
f(g(1))=f(3)
f(3)=4(3)-2
f(3)=12-2
f(g(1))=10
2. g(f(1))
f(1)=4(10)-2
f(1)=40-2
f(1)=8
g(f(1)=g(38)
g(38)=38^2-2(1)
g(38)=76-2
g(38)=74
3. f(g(x))=f(x^2+2x)
f(x^2+2)=4(x^2+2x)-2=8x^2+8x-2
Is this correct?
If f(x) = 4x-2 and g(x) = , then find the following g(2)=________
g(2) = , or g(2) =
No. 1 is CORRECT!!
1. f(g(1))
g(1)=1^2+2 (1)
g(1)=3
f(g(1))=f(3)
f(3)=4(3)-2
f(3)=12-2
f(g(1))=10
No. 2 is INCORRECT!!
f(x ) = 4x - 2 and g(x) =
2. g(f(1))
f(1) = 4(1) - 2
f(1) = 4 - 2
f(1) = 2
g(f(1)) = g(2) = , or g(f(1)) = g(2) =
No. 3 is INCORRECT!!
f(x) = 4x - 2 and g(x) =
3. f(g(x)) = f()
f() = , or f(g(x)) = f() =
Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
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