Question

Diketahui f(x) = 2x-5, g(x) = x²+2x-8, dan h(x) =1-x. Nilai dari (fogoh)(-1)=...
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Answer 1

Verified answer

Fog = 2x - 5
      = 2(x²+2x-8) - 5
      = 2x² + 4x - 21

fogoh = 2x² + 4x - 21
          = 2(1-x)² + 4(1-x) - 21
          = 2( 1 - 2x + x² ) + 4 - 4x - 21
          = 2 - 4x + 2x² + 4 - 4x - 21
          = 2x² - 8x - 15

fogoh (-1)  = 2x² - 8x - 15
                  = 2(-1)² - 8(-1) - 15
                  = 2 + 8 - 15
                  = -5

Answer 2

F(x) = 2x -5, g(x) = x^2 + 2x - 8, h(x) = 1 - x
fogoh(x) = f [ g { h (-1) } ]
= f { g (1- -1)}
= f { g (2) }
= f ( 2^2 + 2.2 - 8)
= f ( 0)
= 2.0 -5
= 0 -5
= -5