Question 6 Unsaved Let f (x) = - 3x - 4 and g (x) = 2x - 6. Find (f * g) (-7)

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Mathematics

Stephanie Lee

22 July, 18:30

Question 6 Unsaved Let f (x) = - 3x - 4 and g (x) = 2x - 6. Find (f * g) (-7)

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Ivan Fields · Answer 1

Given: f (x) = - 3x - 4 and g (x) = 2x - 6, find (f*g) (-7), which is a representation of "the product of functions f and g."

(f*g) (x) = (-3x - 4) * (2x - 6)

= - 6x^2 + 18x - 8x + 24, or - 6x^2 + 10x + 24

Now evaluate this at x = - 7:

(f*g) (-7) = - 6 (-7) ^2 + 10 (-7) + 24 = - 340