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If 
f(x)=2^(x^(2)+9)-12, what is the value of 
f(1), to the nearest tenth (if necessary)?
Answer:

If f(x)=2x2+912 f(x)=2^{x^{2}+9}-12 , what is the value of f(1) f(1) , to the nearest tenth (if necessary)?\newlineAnswer:

Full solution

Q. If f(x)=2x2+912 f(x)=2^{x^{2}+9}-12 , what is the value of f(1) f(1) , to the nearest tenth (if necessary)?\newlineAnswer:
  1. Substitute xx with 11: To find the value of f(1)f(1), we need to substitute xx with 11 in the function f(x)=2(x2+9)12f(x)=2^{(x^{2}+9)}-12.
  2. Calculate the exponent: Substitute xx with 11: f(1)=212+912f(1)=2^{1^{2}+9}-12.
  3. Calculate 2102^{10}: Calculate the exponent: 1(2)+9=1+9=101^{(2)}+9 = 1+9 = 10.
  4. Subtract 1212: Now, calculate 22 raised to the power of 1010: 210=10242^{10} = 1024.
  5. Final value: Subtract 1212 from 10241024 to get the final value: 102412=10121024 - 12 = 1012.
  6. No rounding necessary: Since the problem asks for the answer to the nearest tenth, we see that 10121012 is already an integer, so no rounding is necessary.

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