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Given 
f(x)=4x^(2)+10 x, find 
f(-4)
Answer:

Given f(x)=4x2+10x f(x)=4 x^{2}+10 x , find f(4) f(-4) \newlineAnswer:

Full solution

Q. Given f(x)=4x2+10x f(x)=4 x^{2}+10 x , find f(4) f(-4) \newlineAnswer:
  1. Substitute xx with 4-4: Substitute xx with 4-4 in the function f(x)=4x2+10xf(x) = 4x^2 + 10x.\newlinef(4)=4(4)2+10(4)f(-4) = 4(-4)^2 + 10(-4)
  2. Calculate square of 4-4: Calculate the square of 4-4.(4)2=16(-4)^2 = 16
  3. Multiply 44 by 4-4 square: Multiply 44 by the square of 4-4.4×16=644 \times 16 = 64
  4. Multiply 1010 by 4-4: Multiply 1010 by 4-4. \newline10×(4)=4010 \times (-4) = -40
  5. Add results from Step 33 and Step 44: Add the results from Step 33 and Step 44. f(4)=6440f(-4) = 64 - 40
  6. Calculate final value: Calculate the final value of f(4)f(-4).f(4)=24f(-4) = 24

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