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Zina [86]
3 years ago
10

Let f(x)=e^x and G(x)=x+6. What are the domain and range of g(f(x))?

Mathematics
1 answer:
Lena [83]3 years ago
3 0

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.

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Answer:

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Step-by-step explanation:

You would replace the x with -2x so you would end up with -2×-2 and that is 4 then minus 2 is 2.

7 0
3 years ago
I need help with these 2 problems I cant figure out.
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I combine like terms (2x and 3x)

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I subtract 90 from both sides.

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x = 22

======

For problem two, I label all the angles I know.

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I subtract 180 and 129 and get 51º, which is your angle for R.

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We know from before that 129º is 180º without R, so X is 129º

I hope this helps! Let me know if I'm wrong!

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If the probability of two events occurring together is 0, the events are called
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Step-by-step explanation:

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