Let f(x)=2x^2+x-3 and g(x)=x-1. Perform the indicated operation then find the domain. (f*g)(x)

Question

a.2x^3-x^2-4x+3; domain:all real numbers
b.2x^3+x^2-3x; domain: all real numbers
c.2x^3+x^2+4x-3; domain: negative real numbers
d.2x^3+x-3x+3; domain: positive real numbers

Answer 1

f(x) = 2x^2+x-3
g(x) = x - 1

(f*g)(x) = f(x)*g(x) = (2x^2 + x - 3)*(x - 1)
= 2x^3 + x^2 - 3x - 2x^2 - x + 3
= 2x^3 - x^2 - 4x + 3

All real numbers can be plugged into this function, so its domain is that of all real numbers.

Answer 2

Function Operations Practice test
d
a
d
b
b
d
c
a
c
b

Answer 3

1. D
2. A
3. D

4. B
5. B
6. D

7. D
8. A
9. C
10. B

Answer 4

Thanks you guys! Remember, it's only cheating if you're caught.

Answer 5

coronavirus is right

Answer 6

I am I the only one seeing that @Corona virus named themself days before quarantine, back when we made all the jokes about it and now we are all still in a pandemic... when they picked that name they never knew what was coming.

Also 3, 4, and 7 are wrong, so yay!!!

Answer 7

corona virus is correct, all answers are correct.

Answer 8

Corona virus still has the right answers for 2022, y’all :)

Answer 9

3 is actually 12x^2+2 and 4 is actually x-6.

Answer 10

2 and 7 were wong for me

for 2 the answer was 2x^3-x^2-4x+3; domain all real numbers
for 7 the answer was 4a^2+4

(:

Answer 11

corona virus is correct 100% for functions operations practice in fIca

Answer 12

instead of the multiple choice answers, which i assume they switch around, here are the full answers

1. 2x²-2; domain: all real numbers
2. 2x³-x²-4x+3; domain: all real numbers
3. 2x+3; all real numbers except x=1
4. 8
5. 8
6.104
7. 4a²+4
8. 0
9. 2
10. 8

Answer 13

sus & corona are right

Answer 14

Thank you so much Sus for putting the answers instead of the letters. All are 100% correct!!!!

Answer 15

The answers to the quick check are below. (And if they don't match up, or you're just not sure, you can use mathway!)
1. D) x - 11
2. B) -3x + 9
3. C) -30x² + 28x - 6; all real numbers
4. D) x - 4; all real numbers except x ≠ -4
5. C) It doesn't matter which discount s applied first, the result is the same.

Answer 16

And I'm just gonna put the answers I had for the practice as well.
1. D) 2x^2 - 2; domain: all real numbers
2. A) 2x^3 - x^2 - 4x + 3; domain: all real numbers
3. A) 12x^2 + 2
4. D) x - 6
5. B) 8
6. D) 104
7. D) 4a^2 + 4
8. A) 0
9. C) 2
10. B) 8

Answer 17

Tea is 100% correct!!!!!

Answer 18

All wrong run🏃🏾‍♀️

Answer 19

You are all life savers. No one is going to use ANY of this stuff, im sure even mathmetitions would find this useless.

Answer 20

SUS is 100% thank you so much!!!

Answer 21

It's 2023 and sis and tea are correct! Thank you!

Answer 22

Sus 100% thank ls yall

Answer 23

everything is right on 2/16/23 for the practice test except for 3 and 4

3. 2x+3; domain: all real numbers except x=1

4. 8