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Given 
f(x)=2x^(2)-7x-18, find 
f(-1)
Answer:

Given f(x)=2x27x18 f(x)=2 x^{2}-7 x-18 , find f(1) f(-1) \newlineAnswer:

Full solution

Q. Given f(x)=2x27x18 f(x)=2 x^{2}-7 x-18 , find f(1) f(-1) \newlineAnswer:
  1. Substitute xx with 1-1: To find f(1)f(-1), we need to substitute xx with 1-1 in the function f(x)=2x27x18f(x) = 2x^2 - 7x - 18.
  2. Calculate square of 1-1: Substitute xx with 1-1: f(1)=2(1)27(1)18f(-1) = 2(-1)^2 - 7(-1) - 18.
  3. Multiply by 22: Calculate the square of 1-1: (1)2=1(-1)^2 = 1.
  4. Multiply 7-7 by 1-1: Multiply 22 by the square of 1-1: 2×1=22 \times 1 = 2.
  5. Add and subtract 1818: Multiply 7-7 by 1-1: 7×1=7-7 \times -1 = 7.
  6. Calculate final value: Add the results of the previous steps and subtract 1818: f(1)=2+718f(-1) = 2 + 7 - 18.
  7. Subtract 1818 from 99: Calculate the final value: f(1)=918f(-1) = 9 - 18.
  8. Subtract 1818 from 99: Calculate the final value: f(1)=918f(-1) = 9 - 18. Subtract 1818 from 99: f(1)=9f(-1) = -9.

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