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3 years ago

For f(x) = 1/x-5 and g(x)= x^2-2 find A. (fog)(x) and B. (Gof) (6)

Mathematics

1 answer:

sesenic [268]3 years ago

7 0

For part a do f(g(x)) so 1/(x^2-2)-5 and for b do g(f(6)) go (1/(6-5))-5 (u substituted 6 in for x

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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (XY) be the unknown e

Tresset [83]

Answer:

(6, -17)

Step-by-step explanation:

Given the coordinate of a midpoint, (5, -12), and one endpoint, (4, -7), the other endpoint can be determined as follows:

The midpoint formula is given as $M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$ .

Since we are given ordered pairs of the midpoint and one endpoint, we would find the other ordered pair of the endpoint as shown below.

Let the other endpoint be $(x_1, y_1)$

Midpoint = M(5, -12)

Let the given endpoint = $(4, -7) = (x_2, y_2)$

Thus:

$M(5, -12) = (\frac{x_1 + 4}{2}, \frac{y_1 +(-7)}{2})$

Rewrite the equation to find the coordinates of the other endpoints

$5 = \frac{x_1 + 4}{2}$ and $-12 = \frac{y_1 - 7}{2}$

Solve for each:

$5 = \frac{x_1 + 4}{2}$

$5*2 = \frac{x_1 + 4}{2}*2$

$10 = x_1 + 4$

$10 - 4 = x_1 + 4 - 4$

$6 = x_1$

$x_1 = 6$

$-12 = \frac{y_1 - 7}{2}$

$-12*2 = \frac{y_1 - 7}{2}*2$

$-24 = y_1 - 7$

$-24 + 7 = y_1 - 7 + 7$

$-17 = y_1$

$y_1 = -17$

Ordered pair of the other endpoint is (6, -17)

3 0

3 years ago

Find the greatest common factor 4a^2x^2 + 4a^2x + 4a^2

Schach [20]

Answer:

the gcf of 4a^2x^2 + 4a^2x + 4a^2 is 4a^2

Step-by-step explanation:

4a^2x^2 + 4a^2x + 4a^2

5 0

3 years ago

For which values of P and Q does the following equation have infinitely many solutions? Px-37=Qx-37

Lyrx [107]

Answer:

The equation has infinitely many solutions for any value of P and Q such that P=Q.

Step-by-step explanation:

Px - 37 = Qx - 37

Px - Qx - 37 = -37

x (P-Q) = 0

==> P-Q=0 ==> P=Q

4 0

3 years ago

Identity the zero of the function y= x (x-4)(x+2)

yulyashka [42]

Answer:

- 2, 0 or 4

Step-by-step explanation:

y = x(x - 4)(x + 2)

x' = 0

x - 4 = 0

x" = 4

x + 2 = 0

x"' = - 2

I hope I helped you.

4 0

3 years ago

The graph shows a system consisting of a linear equation and a quadratic equation.

Lorico [155]

Answer:

(3, 4) and (5, 12)

Step-by-step explanation:

The points where the two curves intersect are the solutions to the system of equations:

(3, 4) and (5, 12)

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3 years ago