Answer:
a) x=7
b) x=4
c) x= 1/9
I hope this helps! Do you need more help?
Answer:
Step-by-step explanation:
f * g = (x^2 + 3x - 4) (x+4)
open bracket
x((x^2 + 3x - 4) + 4 (x^2 + 3x - 4)
x³ +3x²-4x+x²+12x-16
x³+3x²+x²-4x+12x-16
x³+4x²+8x-16 (domain is all real numbers.
f/g = (x^2 + 3x - 4)/(x+4)
factorising (x^2 + 3x - 4)
x²+4x-x_4
x(x+4) -1 (x+4)
(x+4)(x-1)
f/g = (x^2 + 3x - 4)/(x+4) =(x+4)(x-1)/(x+4) = (x-1)
Before factorisation, this was a rational function so the domain is all real numbers excluding any value that would make the denominator equal zero.
Hence I got x - 1, and x cannot equal -4
So the domain is just all real numbers without -4
Answer:
A) $204 B) $331.50
Step-by-step explanation:
For both scenarios, you just multiply the amount of hours worked by the amount per hour to find the total amount made.
Given:
To find:
The correct function.
Explanation:
Let us consider the function given in option D.
Differentiating with respect to x we get,
Substituting x = 2 in the function f(x), we get
Therefore, the given conditions are satisfied.
So, the function is,
Final answer: Option D
I believe you may have the order incorrect. If we were looking at g(f(x)) the answer would be 47. We would get this by sticking the 3 in for x in f(x) and solving, which would give us 48. We would then stick that answer in for x in the g(x), giving us 47.
In its current order the answer would be 28.