I. Multiply the first function by the second one.
f(x)*g(x) = (x^2+3x-4)*(x+4) = x^3 + 3x^2 - 4x + 4x^2 + 12x -16 = x^3 +7x^2 + 8x - 16.
The domain of this new function is the set of all real numbers (R). Other notation: from minus infinity to plus infinity. We came to this conclusion because the new function poses no restrictions; regardless of which x-value you take, you will get the appropriate y-value.
II. f(x)/g(x) = (x^2+3x-4)/(x+4) =
Ask yourself: which two numbers add up to 3 and multiply to -4? It's -1 and 4. Now we can represent f(x) as (x-1)(x+4).
Since we're dividing these 2 brackets by g(x)=x+4, we may now cancel (x+4). All that's left is x-1.
The domain here is the same as in the previous task - it is R.
Step-by-step explanation:
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Answer:
No. of x-intercepts is equal to the no. of distinct species factors of a polynomial
Since this curve has only one distinct factor i.e (x+7)
The only x-intercepts is -7
(-7,0)
Y intercept would be at (0+7)⁷
Which is (0,7⁷)
Or (0,823543)
Since it's an odd power, branch of the curve for x > 7 would approach positive infinity
Branch for x < 7 would approach negative infinity
Answer:
m = 1/2
Step-by-step explanation:
Look at the points on the graph and determine what the slope would be using the slope formula. y2-y1 / x2-x1.
2 - 0 / 0 - (-4)
2/4
1/2
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