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3 years ago

Please assist me with this problem: part 11

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

4 0

Answer:

a² = b² -w² +2wx

Step-by-step explanation:

The algebra is pretty straightforward. Expand the expression in parentheses and add x².

b² -(w -x)² = e² = a² -x²

b² -(w² -2wx +x²) = a² -x² . . . . . expand the square

b² -w² +2wx -x² = a² -x² . . . . . . distribute the minus sign

b² -w² +2wx = a² . . . . . . . . . . . . add x²

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If f(x) =69-15x then f(f^-1(x))

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If f(x)=69-15x then $f(f^{-1}(x))=x$

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Lets find out $f^{-1}(x)$ . The steps to find out f inverse are

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$y=69-15x\\Interchange \; the \; variables\\x=69-15y\\solve \; for \; y\\x-69=-15y\\Divide \; by \; -15\\\frac{-x+69}{15} =y\\Replace \;y \;with \; f^{-1}\\f^{-1}=\frac{-x+69}{15}$

Now we find $f(f^{-1}(x))$

Replace inverse function in the place of x in f(x)

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Please assist me with this problem: part 11​

Please assist me with this problem: part 11