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amid [387]
2 years ago
9

Find (f•f)(x) when f(x) = x^2-2 and g(x)= x-1

Mathematics
1 answer:
UkoKoshka [18]2 years ago
6 0

Answer:

Solution

(f+g)(x)=f(x)+g(x)

=x

2

+2x+1

(f−g)(x)=f(x)−g(x)

=x

2

−(2x+1)

=x

2

−2x−1

(fg)(x)=f(x).g(x)

=x

2

(2x+1)

=2x

3

+x

2

(

g

f

)(x)=

g(x)

f(x)

(g(x)



=0)

=

2x+1

x

2

(x



=−

2

1

)

Step-by-step explanation:

ƈǟʀʀʏ օռ ʟɛǟʀռɨռɢ

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Check the picture below.  So,the parabola looks like so, notice the distance "p". since the parabola is opening to the right, then "p" is positive, thus is 5.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
\boxed{(y-{{ k}})^2=4{{ p}}(x-{{ h}})} \\\\
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\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\

\bf -------------------------------\\\\
\begin{cases}
h=3\\
k=1\\
p=5
\end{cases}\implies (y-1)^2=4(5)(x-3)\implies (y-1)^2=20(x-3)
\\\\\\
\cfrac{1}{20}(y-1)^2=x-3\implies \boxed{\cfrac{1}{20}(y-1)^2+3=x}

8 0
3 years ago
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Solve the following system by graphing.
Masja [62]
Hello : 
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Sketch the graph of y = negative 2 x squared + x + 1 using your graphing calculator. What are the x-intercepts of this graph? a.
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The x-intercept is (1, 0) and (-0.5, 0).

The correct option is (a)

<h3>What is intercept?</h3>

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given function is:

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So, The graph of this equation is attaches below.

The x- intercepts of this graph

\mathrm{X\:Intercepts}:\:\left(-\frac{1}{2},\:0\right),\:\left(1,\:0\right)

or

X intercepts: (1, 0) and (-0.5, 0)

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Answer:

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