Let f(x) = 3x^2 – 8x + 5 and let g(x) = 2x – 8. find
f(x) – g(x).
a.3x2 – 10x – 3
b.3x2 – 10x + 13
c.5x2 – 10x + 13
d.5x2 – 10x - 3

B. 3x² – 10x + 13

Step-by-step explanation:

given:

f(x) = 3x² – 8x + 5

g(x) = 2x – 8

f(x) - g(x)

= (3x² – 8x + 5) - (2x – 8)

= 3x² – 8x + 5 - 2x + 8

= 3x² – 10x + 13

Rewriting a mixed number as an improper fraction

Rewrite 3\dfrac453

5

4

3, start fraction, 4, divided by, 5, end fraction as an improper fraction.

3\dfrac45=\blueD3+\greenD{\dfrac45}3

5

4

=3+

5

4

3, start fraction, 4, divided by, 5, end fraction, equals, start color #11accd, 3, end color #11accd, plus, start color #1fab54, start fraction, 4, divided by, 5, end fraction, end color #1fab54

\phantom{3\dfrac45}=\blueD1+\blueD1+\blueD1+\greenD{\dfrac45}3

5

4

=1+1+1+

5

4

empty space, equals, start color #11accd, 1, end color #11accd, plus, start color #11accd, 1, end color #11accd, plus, start color #11accd, 1, end color #11accd, plus, start color #1fab54, start fraction, 4, divided by, 5, end fraction, end color #1fab54

\phantom{3\dfrac45}=\blueD{\dfrac55}+\blueD{\dfrac55}+\blueD{\dfrac55}+\greenD{\dfrac45}3

5

4

=

5

5

+

5

5

+

5

5

+

5

4

empty space, equals, start color #11accd, start fraction, 5, divided by, 5, end fraction, end color #11accd, plus, start color #11accd, start fraction, 5, divided by, 5, end fraction, end color #11accd, plus, start color #11accd, start fraction, 5, divided by, 5, end fraction, end color #11accd, plus, start color #1fab54, start fraction, 4, divided by, 5, end fraction, end color #1fab54

5

4

=

5

5+5+5+4

empty space, equals, start fraction, start color #11accd, 5, end color #11accd, plus, start color #11accd, 5, end color #11accd, plus, start color #11accd, 5, end color #11accd, plus, start color #1fab54, 4, end color #1fab54, divided by, 5, end fraction

5

4

=

5

19