Answer:
Step-by-step explanation:
This is function composition. We will take the g function and plug it into the f function wherever we see an x. That will look like this when it's done but before it's simplified:
and that can be simplified down to

The domain of this function will be all real numbers EXCEPT for the one(s) that cause the denominator to become undefined. Set the denominator equal to 0 and solve for x:
5x - 4 = 0 so
5x = 4 and
x = 4/5
In other words, D = {x | x ≠ 4/5}
Answer:
Step-by-step explanation:
plot an open circle on the 4 and a closed circle on the 10. Then draw a line that goes from 4 to 10.
Answer:
AB = 5
Step-by-step explanation:
Since the triangle is isosceles then the legs are congruent, that is
BC = BA, substitute values
5x - 10 = 3x - 4 ( subtract 3x from both sides )
2x - 10 = - 4 ( add 10 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Thus
AB = 3x - 4 = 3(3) - 4 = 9 - 4 = 5
Answer:
The price of a triple pack of gum is $2.25.
Step-by-step explanation:
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