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katovenus [111]
3 years ago
13

F(x) = 3x2 - 7 and g(x) = x3 + 1, evaluate f(g(2)).

Mathematics
1 answer:
vlabodo [156]3 years ago
6 0
I hope this helps you

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Find the axis of symmetry of the graph of the function. (5 points) f(x) = 3x2 + 12x + 9
Kryger [21]

Considering the definition of axis of symmetry, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

<h3>Axis of symmetry</h3>

An axis of symmetry is an imaginary reference line that, when dividing any shape into two parts, its opposite points are equidistant from each other, that is, they are symmetrical.

In other words, the axis of symmetry is a vertical line that divides the parabola into two congruent halves.

The axis of symmetry is the line perpendicular to the "x" axis that contains the vertex of the function, that is, it always passes through the vertex of the parabola. So the x-coordinate of the vertex is the equation of the axis of symmetry.

That is, in a quadratic function that has the form:

f(x)= ax² + bx + c

the axis of symmetry is a vertical line and it is defined as x=\frac{-b}{2a}.

<h3>Axis of symmetry of f(x) = 3x² + 12x + 9</h3>

In this case, you know:

  • a= 3
  • b=12
  • c=9

Replacing in the definition of axis of symmetry:

x=\frac{-12}{2x3}

Solving:

x=\frac{-12}{6}

<u><em>x= -2</em></u>

Finally, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

Learn more about axis of symmetry:

brainly.com/question/24737967

brainly.com/question/10473291

#SPJ1

3 0
2 years ago
3. Which of the following is the surface area of this right triangular prism? (
Ostrovityanka [42]
160in 5x8=40x4=160 is the answer to ur question
8 0
2 years ago
X÷2+4 greater than 7​
denpristay [2]
I’m am almost sure it’s true it should look like this X
__ > 7
2+4
8 0
3 years ago
An angle between 180’ and 360’
stealth61 [152]

Step-by-step explanation:

you start with 90 then 180 then270 then 360

3 0
3 years ago
Read 2 more answers
Find the perimeter of rectangle whose length is 40 and the diagonal is 41 cm<br>​
Bond [772]

Answer:

<h2>              P = 98 cm</h2>

Step-by-step explanation:

Given one side and diagonal of rectangle we can use Pythagorean theorem to calculate the other side of it.

L=40\, cm\\D=41\,cm\\W=\ ?\\\\W^2+L^2=D^2\\\\W^2+40^2=41^2\\\\W^2+1600=1681\\\\W^2=81\\\\W=9

Perimeter:

P = 2W + 2L = 2•40 + 2•9 = 80 + 18 = 98

4 0
3 years ago
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