Answer:
f(x) and g(x) are inverses
Step-by-step explanation:
* Lets check the inverse function
- If f(x) = y has a domain = x and a range = y, then f^-1 is the
inverse of f with a domain = y and a range = x
- f(x) = f^-1(x) = x
* Now lets solve the problem
∵ f(x) = 8/x
∵ g(x) = 8/x
∴ fg(x) = f(8/x)
∴ fg(x) = 8/(8/x) = 8 ÷ 8/x ⇒ change division sign to the multiplication
sign and reciprocal the fraction after the division sign
∴ fg(x) = 8 × x/8 = x
* Now lets find gf(x)
∴ gf(x) = g(8/x)
∴ gf(x) = 8/(8/x) = 8 ÷ 8/x
∴ gf(x) = 8 × x/8 = x
∵ f(x) = f^-1(x) = x
* fg(x) = gf(x) = x
∴ f(x) and g(x) are inverses
The answer would be 95 with no remainder
For every 6 dumplings bought, you get charged $3.00 plus 7 cents for every dollar. Hope this helps:)
2x_45 I’m trying to figure it out but if I can get my text from work then I can go back to my dads house tonight and then I get off
Answer: x² - x - 12
Step-by-step explanation: When multiplying two binomials together, we can use the F.O.I.L. method.
<em>First, Outer, Inner, Last</em>.
We take the product of the first terms which is x² plus the product of the outer terms which is -4x plus the product of the inner terms which is 3x plus the product of the last terms which is -12.
So we have x² - 4x + 3x - 12.
Simplifying from here by combing the middle terms, we have x² - x - 12.
Pay very close attention to your positives and negatives as you F.O.I.L. because this is the area where most mistakes occur.
