If f (x) = 3 (x-2) ^2 + 7 and g (x) = (x + 4) ^2-5, which of the following represents the simplified form of

(f - g) (x) ?

Question

Mathematics

Josie Cruz

3 January, 23:07

If f (x) = 3 (x-2) ^2 + 7 and g (x) = (x + 4) ^2-5, which of the following represents the simplified form of

(f - g) (x) ?

+2

Answers (1)

Know the Answer?

Margaret Chase · Answer 1

All you have to do is subtract g (x) from f (x):

[3 (x-2) ^2+7]-[ (x+4) ^2-5]

[3 (x^2-4x+4) + 7]-[ (x^2+8x+16) - 5]

(3x^2-12x+12+7) - (x^2+8x+11)

(3x^2-12x+19) - (x^2+8x+11)

2x^2-12x+19-8x+11

2x^2-20x+30

So the simplified form of (f-g) (x) is 2x^2-20x+30

If f (x) = 3 (x-2) ^2 + 7 and g (x) = (x + 4) ^2-5, which of the following represents the simplified form of(f - g) (x) ?

If f (x) = 3 (x-2) ^2 + 7 and g (x) = (x + 4) ^2-5, which of the following represents the simplified form of

(f - g) (x) ?