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maksim [4K]
3 years ago
11

F(x)=-9x^2-2x and g(x)=-3x^2+6x-9, find (f-g)(x) and (f-g)(-4)

Mathematics
1 answer:
Alona [7]3 years ago
6 0

Answer:

(f - g)(x)= - 6 {x}^{2} - 8x + 9

(f - g)(-4!)= - 55

Step-by-step explanation:

f(x) =  - 9 {x}^{2}  - 2x,  \:  \: g(x) =  - 3 {x}^{2}  + 6x - 9 \\ (f - g)(x) = f(x)  - g(x) \\  = - 9 {x}^{2}  - 2x - (- 3 {x}^{2}  + 6x - 9) \\  =  - 9 {x}^{2}  - 2x  + 3 {x}^{2}   -  6x  +  9 \\    \purple{ \boxed{ \bold{(f - g)(x)= - 6 {x}^{2}  - 8x + 9}}} \\ (f - g)( - 4)= - 6 {( -4 )}^{2}  - 8( - 4) + 9 \\  =  - 6 \times 16 + 32 + 9 \\  =  - 96 + 41 \\ \red{ \boxed{ \bold{(f - g)( - 4)= - 55}}}

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