Answered

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g(x) = -x^2 + 2F(x)= x - 4Find (g•f)(-1)

Sagot :

g•f is the same that g(f(x)) which means that you have to evaluate g(x) with x= f(x), as follows:

g(x) = -x² + 2

g(f(x)) = -(x - 4)² + 2

g(f(x)) = - (x² - 2*x*4 + 4²) + 2

g(f(x)) = - (x² - 8x + 16) + 2

g(f(x)) = -x² + 8x - 16+ 2

g(f(x)) = -x² + 8x - 14

To find (g•f)(-1) you have to replace x = -1 into the expression of g•f, as follows:

(g•f)(-1) = -(-1)² + 8(-1) - 14

(g•f)(-1) = -1 - 8 - 14

(g•f)(-1) = -23

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