SOLUTION: 1. f(x)=8+x, g(x)=x-5, If d(x)=f(x)-g(x), find d(x) 2. Solve: x^2 + 6x + 6 = 0 3. f(x) = e^2x What is f(1/4)? Thank you so much!!!!

Question 257532: 1. f(x)=8+x, g(x)=x-5, If d(x)=f(x)-g(x), find d(x)
2. Solve:
x^2 + 6x + 6 = 0
3. f(x) = e^2x
What is f(1/4)?
Thank you so much!!!!

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
1. .

So
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2.

Start with the given equation.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

Break up the fraction.

Reduce.

or Break up the expression.

So the solutions are or

which approximate to or

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3.

Simply plug in to get

So . In addition, you can convert to radical notation to get
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