Can anybody solve these in the next 2 hours?(urgent)

S

Samin

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Mar 3, 2021
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1. If f(x) = 2x − 3 and g(x) = −x2 + 5, then find f(g(x)).
2. Determine whether the inverse function of f(x) = 4√3x + 4 exists. If it does, find the domain of the inverse function.
3. Find the domain and range of f(x) = x2 + x + 1
x.
4. Sketch the function:
• y = csc x
• What is the period of csc x?
• What lines are asymptotic of csc x?
• At what points do the graphs of y = sin x and y = csc x intersect ?
 
Samin said:
1. If f(x) = 2x − 3 and g(x) = −x2 + 5, then find f(g(x)).
2. Determine whether the inverse function of f(x) = 4√3x + 4 exists. If it does, find the domain of the inverse function.
3. Find the domain and range of f(x) = x2 + x + 1
x.
4. Sketch the function:
• y = csc x
• What is the period of csc x?
• What lines are asymptotic of csc x?
• At what points do the graphs of y = sin x and y = csc x intersect ?
Click to expand...
Why is this urgency of time?

If you had shown your work/attempt, you would have gotten significant help by this time.

Please post one problem/thread.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:


Please share your work/thoughts about this problem.
 
1.f(g(x)=2(g(x)-3
=2(-x^2+5)-3
=-2x^2+10-3
f(g(x)=-2x^2+7

this is what ive managed to do for number 1
 
Samin said:
1.f(g(x)=2(g(x)-3
=2(-x^2+5)-3
=-2x^2+10-3
f(g(x)=-2x^2+7

this is what ive managed to do for number 1
Click to expand...
This is correct. Keep going.

If you can't do a problem, at least tell us where or why you are stuck.

Is #2 about f(x) = 4√(3x) + 4 or f(x) = 4√(3x + 4 ) or f(x) = 4√(3)x + 4 ? Have you tried finding the inverse, or graphed it to see it it's one-to-one?
 
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