Savannah_Noelle
  • Savannah_Noelle
Can someone help me with these two questions? I learned them but I completely forgot how to solve them. Thanks! <3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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Savannah_Noelle
  • Savannah_Noelle
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anonymous
  • anonymous
f( g(x) ), you first solve g(x) and the output is then the input for f(x) g(-3) = (-3) -7 g(-3) = -10. Next, we use this result to evaluate f(x): f(g(-3)) = f(-10) = 2 * (-10) + 5 f(g(-3)) = -20 + 5 = -15
Savannah_Noelle
  • Savannah_Noelle
Okay, so the answer would be 25?

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anonymous
  • anonymous
minus twenty plus 5 = minus 15
Savannah_Noelle
  • Savannah_Noelle
Okay, -15, thank you :) For number 8 how would you set up the equation? First I did g(2)=2+4/3 g2=6/3 g2=2 -2 -2 g=0 Is this correct for the first part?
anonymous
  • anonymous
yes however you can't subtract the 2 from the sides g(2) = 2 is the last you can get
anonymous
  • anonymous
cause g(0) would actually be 3/4 or something when x=0
Savannah_Noelle
  • Savannah_Noelle
Oh okay, soo g=2. How would I do the second part of the problem? I don't really understand how to write the second equation out.
anonymous
  • anonymous
insert g=2 for every input x=g(): \[x^{2}+2*x + 3 =(2)^{2}+2*(2)+3\]
anonymous
  • anonymous
the x in f(x) is already the "next x" - the result from g(x)
anonymous
  • anonymous
it's actually like \[f(g) = g ^{2}+2*g+3\]
Savannah_Noelle
  • Savannah_Noelle
Ohhhh okay, so it's 11. That makes sense. Just one more question about what you said "yes however you can't subtract the 2 from the sides g(2) = 2 is the last you can get" let's say it was g(5)=10. Would I subtract the 5 in this case?
anonymous
  • anonymous
you are not allowed to subtract "function inputs" when subtracting both sides. if you subtract 5 from both sides, you must subtract from whatever that function returns g(5)-5 = 10-5 g(5)-5 = 5 ...is valid. sin(90°) = 1, you can't subtract and say sin(89°) = 0
Savannah_Noelle
  • Savannah_Noelle
Okay, I just thought you were supposed to get the "g" by itself.
anonymous
  • anonymous
because g is a function you can't get it by itself. it is always an "instruction" on how to process whatever it is given. this would however be possible if g was a variable
Savannah_Noelle
  • Savannah_Noelle
Okay thank you so much! I really appreciate the help

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