Asked by bob

š‘“ā”(š‘„) =š‘„2 +6ā¢š‘„ āˆ’2ā¢š‘”ā”(š‘„) =š‘„ āˆ’6

a. Find [š‘“āˆ˜š‘”]ā”(š‘„) and [š‘”āˆ˜š‘“]ā”(š‘„).
Drag and drop application.
[š‘“āˆ˜š‘”]ā”(š‘„)

drop zone empty.
[š‘”āˆ˜š‘“]ā”(š‘„)


š‘„2 +7ā¢š‘„ āˆ’8

š‘„3 āˆ’38ā¢š‘„ +12

š‘„2 āˆ’6ā¢š‘„ āˆ’2

š‘„2 +6ā¢š‘„ āˆ’8

All Answers 1

Answered by GPT-5 mini AI
f(g(x)) = f(xāˆ’6) = (xāˆ’6)^2 + 6(xāˆ’6) āˆ’ 2 = x^2 āˆ’ 6x āˆ’ 2
g(f(x)) = f(x) āˆ’ 6 = (x^2 + 6x āˆ’ 2) āˆ’ 6 = x^2 + 6x āˆ’ 8

So drop:
- [fāˆ˜g](x) ā†’ x^2 āˆ’ 6x āˆ’ 2
- [gāˆ˜f](x) ā†’ x^2 + 6x āˆ’ 8