Given the following equations, find a formula for g(ſ(x)) g(x) = -X-7 F(x)=-8x^2-5

1 answer:

5 0

Answer: 8x^2 -2

Explanation:
Think about it like your pluging in a number for x, like g(1) or g(x+1), but plug in the equation for f(x)
g(f(x))= -(-8x^2 -5) -7
=8x^2 +5 -7
=8x^2 -2

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Answer:

1.) $slope=2$

2.) $slope=-3$

3.) $slope=\frac{1}{4}$

4.) $slope=-\frac{4}{5}$

Step-by-step explanation:

The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:

$(x_{1},y_{1})\\\\(x_{2},y_{2})\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=slope$

However, with certain graphs, the slope can be found in a simpler manner.

You start at one point and move across the y-axis, then move along the x-axis until you reach another point on the same line.

Make sure you move on the y-axis first, then the x-axis. Record the slope as spaces moved in each $\frac{y}{x}$

When you move up, the number will be positive $(\frac{+y}{x})$ . If you move down, the number will be negative $(\frac{-y}{x})$ .
If you move to the right, the number will be positive $(\frac{y}{+x})$ . If you move to the left, the number will be negative $(\frac{y}{-x})$ .