Question

If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)? –196 –168 22 78

Answer 1

Given f(x) = 8 - 10x, g(x) = 5x + 4.

Now,

(fg)(-2) = f(-2) * g(-2) ------ (1)

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f(-2) = 8 - 10(-2)

= > 8 + 20

= > 28 ----- (2)

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g(-2) = 5(-2) + 4

= > -10 + 4

= > -6 ---- (3)

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Substitute (2) & (3) in (1), we get

= > (fg)(-2) = (28)(-6)

= > -168.

Therefore, the final answer is -168.

Hope this helps!

Answer 2

The above equation holds the meaning f(g(x))

So,

f(g(x)) = 8-10 (5x +4)

= 8 - 50x -40

= -32 - 50x

So,

fg(-2) = -32 +100

=68

So,

fg(-2) will be 68

Hope this helps !!!!!!!!!!!!!!!!!