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# Algebra/algebra

Question
QUESTION: For f(x)=x+3 and g(x) =2x+5, find the following
a. (fog)(x)=
b. (gof)(x)=
c. (fog)(-1)=

ANSWER: What I believe that symbol is the same as is (fog)(x) = f(g(x)).
Is that correct?
This means we have
a. f(g(x)) = g(x) + 3, so it is 2x + 5 + 3 = 2x + 8.
b. g(f(x)) = 2*f(x) + 5 = 2(x+3) + 5 = 2x + 6 + 5 = 2x + 11.
c. f(g(-1) = f(2(-1)+5) = f(-2+5) = f(3) = 3+3 = 6.

[an error occurred while processing this directive]---------- FOLLOW-UP ----------

QUESTION: Evaluate the function at the given values of the independent variable and simplify.
f(x)=4xsquare2-1/x2
a. f(3)
b. f(-3)
c. f(-x)

If that suppose to be 4x²-1/x²?
That is, are both x's squared?

a. Put in 3 as x and get 4*9 - 1/9 = 323 8/9.
b. Put in -3 as x and get the same thing,  since when squared the -3 still gives a 9.
c. When putting in a negative the answer is  the equation 4x²-1/x² since a negative squared is still positive.  That is, x² = (-x)².

Algebra

Volunteer

#### Scott A Wilson

##### Expertise

Any algebraic question you've got. That includes question that are linear, quadratic, exponential, etc.

##### Experience

I have solved story problems, linear equations, parabolic equations. I have also solved some 3rd order equations and equations with multiple variables.

Publications
Documents at Boeing in assistance on the manufacturiing floor.

Education/Credentials
MS at math OSU in mathematics at OSU, 1986. BS at OSU in mathematical sciences (math, statistics, computer science), 1984.

Awards and Honors
Both my BS and MS degrees were given with honors.

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Students in a wide variety of areas since the 80's; over 1,000 of them have been in algebra.