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AleksAgata [21]
3 years ago
10

If function F is defined by f(x) = 3x^2 + 5, what is f(x-4)

Mathematics
1 answer:
shepuryov [24]3 years ago
4 0

Answer:

The function f(x) when x=x-4 is f(x-4)=3x^2-24x+53  or f(x-4)=3x(x-8)+53

Step-by-step explanation:

Given function f is defined by f(x)=3x^2+5

Now to find the function f(x-4):

f(x)=3x^2+5

Put x=x-4 in the above function we get

f(x-4)=3(x-4)^2+5

f(x-4)=3(x^2-2(x)(4)+4^2)+5 (using the formula (a-b)^2=a^2-2ab+b^2)

f(x-4)=3(x^2-8x+16)+5

f(x-4)=3x^2-24x+48+5 (adding the like terms)

f(x-4)=3x^2-24x+53

f(x-4)=3x(x-8)+53

Therefore f(x-4)=3x^2-24x+53  or f(x-4)=3x(x-8)+53

The function f(x) when x=x-4 is f(x-4)=3x^2-24x+53  or f(x-4)=3x(x-8)+53

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