Find f(g(x)) when f(x) = 3x2 + x - 8, and g(x) = 4x + 5.
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Answer:
As x —> negative infinity, f(x) —> negative infinity
As x —> positive infinity, f(x) —> positive infinity.
Step-by-step explanation:
An odd-degree function, meaning that the graph starts from negative infinity at x —> negative infinity and positive infinity at x —> positive infinity.
As x —> negative infinity, f(x) —> negative infinity
As x —> positive infinity, f(x) —> positive infinity.
An odd-degree function is an one-to-one function so whenever x approaches positive, f(x) will also approach positive.
To find out how many hours it rained, divide the total rise in the river by the amount it rose every hour.
First convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:
When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:
Multiply the numerators and denominators together:
Simplify by dividing:
So it rained for 10 hours.
First convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:
When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:
Multiply the numerators and denominators together:
Simplify by dividing:
So it rained for 10 hours.