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2 years ago

Factor the expression completely. x^4-9x^2+14 x 4 −9x 2 +14

Mathematics

1 answer:

Kobotan [32]2 years ago

8 0

Answer: 3x^2(5x^2-6)+14
(WORK SHOWN BELOW)

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2 years ago

The point (3, 6) is on the graph of y= 5f(2(x+3))-4 . Find the original point on the graph of y=f(x).

Sonja [21]

Answer:

(12, 2) is the original point on the graph of $y=f(x)$ .

Step-by-step explanation:

Given:

$y= 5f(2(x+3))-4$ has a point (3, 6) on its graph.

To find:

Original point on graph $y=f(x)$ = ?.

Solution:

We are given that The point (3, 6) is on the graph of $y= 5f(2(x+3))-4$

If we put x = 3 and y = 6 in $y= 5f(2(x+3))-4$ , it will satisfy the equation.

Let us the put the values and observe:

$6= 5f(2(3+3))-4\\\Rightarrow 6= 5f(2(6))-4\\\Rightarrow 6= 5f(12)-4\\\Rightarrow 6+4=5f(12)\\\Rightarrow 5f(12)= 6+4\\\Rightarrow 5f(12)= 10\\\Rightarrow f(12)= \dfrac{10}{5}\\\Rightarrow f(12)= 2\\OR\\\Rightarrow 2=f(12)$

Now, let us compare the above with the following:

$y=f(x)$

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So, the original point on graph of $y=f(x)$ is (12, 2).

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Yellow 0/25

Red 1/50

Blue 37/50

Step-by-step explanation:

hope this helps and learn well

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Part B

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