Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
Answer: Smaller
Step-by-step explanation:
Multiplying a number by 1.25 increases it by a quarter
Multiplying a number by 0.75 decreases it by a quarter
1.25 / 0.75 = 0.9375
Thus, increasing something by a quarter then decreasing it by a quarter, you are effectively multiplying that number by 0.9375, which is less than 1, so the number will decrease.
Answer:
Undefined
Step-by-step explanation:
It's undefined since slope is based on the x coordinate, and since it doesn't change here there is none. It's also undefined because the line is vertical. Hope this helps :)
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▹ Answer
<em>y = 15, -15</em>
▹ Step-by-Step Explanation
This is considered a 'square root' since we have to find y^2.
15 * 15 = 225
-15 * -15 = 225
Both of these values work for y, so the answer is 15, -15.
Hope this helps!
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