jeopardy review q & a with work - arrowhead high school · jeopardy review q & a with work...
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Jeopardy Review Q & A with Work
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If f(x)=8x+3 AND g(x)=x3-1, FIND f(g(-1)).
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-13
Jeopardy Review Q & A with Work
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IF f(x)=x2+2, AND g(x)=x1/3
FIND f(g(x)).
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x2/3+2
Jeopardy Review Q & A with Work
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IF f(x)=√x AND g(x)=2x+4, FIND THE RESTRICTION(S) OF THE DOMAIN OF f(g(x)).
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X cannot be less than -2.
Jeopardy Review Q & A with Work
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If f(x)=6X+2, AND g(x)=1/6x-1/2
Are they inverses?Prove it using composites.
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f(g(x)=f(1/6x-1/2)= 6(1/6x-1/2)+2= x-3+2= x-1=not inverses
Jeopardy Review Q & A with Work
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IF f(x)=4x+8 AND g(x)=1/4x-2,
Are they inverses?Prove it using composites.
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f(g(x))=f(1/4x-2)= 4(1/4x-2)+8=
x-8+8=x :)
g(f(x))=g(4x+8)= 1/4(4x+8)-2= x+2-2=x :)
Jeopardy Review Q & A with Work
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Answer
What is the range of the INVERSE of the following function?
f(x) = { (1,2), (3,4), (5,6), (7,8) }
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Range: {1, 3, 5, 7}
Jeopardy Review Q & A with Work
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Answer
Find the geometric mean of the setof data to the nearest hundredth.
3, 4, 10, 2, 100
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7.52
Jeopardy Review Q & A with Work
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IS THE INVERSE OF f(x)=x12 A FUNCTION? WHY OR WHY NOT?
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No, f fails HLT.
Jeopardy Review Q & A with Work
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Answer
FIND THE INVERSE OF f(x)=3x-8.
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f-1(x)=x+8 3
Jeopardy Review Q & A with Work
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FIND THE INVERSE OF f(x)=x4-2.
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f-1(x)=∜X+2
Jeopardy Review Q & A with Work
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Rewrite using a single radical.
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Jeopardy Review Q & A with Work
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Evaluate the expression
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3
Jeopardy Review Q & A with Work
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SIMPLIFY
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Jeopardy Review Q & A with Work
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Rationalize the denominator and simplify.
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Jeopardy Review Q & A with Work
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Rationalize the denominator and simplify.
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Jeopardy Review Q & A with Work
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WHAT TERM IS USED FOR AN ANSWER THAT DOES
NOT WORK IN THE ORIGINAL EQUATION?
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EXTRANEOUS
Jeopardy Review Q & A with Work
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Classify the expression as defined or undefined, positive or negative, real or imaginary.
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defined, imaginary, positive
Jeopardy Review Q & A with Work
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SOLVE
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x = 241
Jeopardy Review Q & A with Work
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SOLVE
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313
Jeopardy Review Q & A with Work
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SOLVE
40√4X+2=50
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No solution because 24.5 is
extraneous.
Jeopardy Review Q & A with Work
CONSIDER f(x)=x3-2.FIND THE INVERSE.PROVE IT IS THE INVERSE.
f-1(x)=∛x+2
f(f-1(x))=f(∛x+2) =(∛x+2)3-2 =x+2-2=x :)
f-1(f(x))=f-1(x3-2) ∛x3-2+2 =∛x3=x :)