f(x) = x² - 8x + 3
y = x² - 8x + 3
- 3 - 3
y - 3 = x² - 8x + 16
y - 3 + 16 = x² - 8x + 16
y + 13 = x² - 8x + 16
y + 13 = (x - 4)²
- 13 - 13
y = (x - 4)² - 13
f(x) = (x - 4)² - 13
Answer:
f(x) = (1/x) - 5
g(x) = x^2 + 2
=> f[g(x)] = [1/(x^2 +2)] - 5
So, if I understand correctly the prize before sales tax is 40 dollars and the sales tax is 8%. how much is this?

so the final prize is 40+3.2=43.2
Answer:
8x^2 + 45/5x
Step-by-step explanation:
write the division as a fraction
3x+ 1/x + 8/x - 7/5x
using a=a/1, convert the expression into a fraction
3x/1 - 7/5x
calculate the product
3x/1 - 7x/5
expand the fraction to get the least common denominator
5 x 3x/ 5 x 1 - 7x/5
multiply the numbers
15x/5 - 7x/5
write all numerators above the common denominator
15x - 7x/5
collect like terms
8x/5
write the factor as a product
8/5 x + 1/x + 8/x
calculate the product
8x/5 + 5 x 1/5x + 5 x 8/5x
expand the fraction to get the least common denominator
X x 8x/X x 5 + 5/5x + 5 x 8/5x
multiply the numbers
X x 8x/X x 5 + 5/5x + 40/5x
calculate the product
8x^2/5x + 5/5x +40/5x
write all numerators above the common denominator
8x^2 + 5 + 40/5x
add the numbers and that's the answer
8x^2 + 45/5x
(that was l o n g)
<h3>False</h3>
<em><u>trust</u></em><em><u> me</u></em><em><u> </u></em><em><u>the </u></em><em><u>answer</u></em><em><u> is</u></em><em><u> </u></em><em><u>false</u></em><em><u> </u></em><em><u>:</u></em><em><u>)</u></em>