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Varvara68 [4.7K]
3 years ago
7

For f (x) = 2x+1 and g(x) = x2 - 7, find (fºg)(2).

Mathematics
1 answer:
Art [367]3 years ago
3 0

Answer:

Step-by-step explanation:

Your first step will be to set up the problem:

f(x) - g(x)

Next you will substitute in your values:

(2x + 1) - (x2 - 7)

The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:

2x + 1 - x2 + 7

Then combine your like terms:

2x - x2 + 8

Lastly put your expression in standard form (highest exponent to lowest)

-x2 + 2x + 8

Hope this helped!

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Can someone please help me with this?!
Alinara [238K]

Answer: y=\frac{1}{4}x-3


Step-by-step explanation:

- The equation of the line in the slope intercept form is: y=mx+b

Where m is the slope and b is the y-intercept of the line

- Let's choose two points of the line: (8,-1) and (-4,-4).

- You must calculate the slope of the line as following:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-(-1)}{-4-8}=\frac{1}{4}

- As you can see in the graph attached, the line intersects the y-axis at -3, then b=-3.

- Substituting values into the equation of the line, you obtain:

y=\frac{1}{4}x-3


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