<em>Note: Your question seems a little bit ambiguous. So, I am assuming the given function f(x)=9x+7.</em>
<em>Thus, I am solving based on it. It would still clear your concept. </em>
Answer:
The inverse of f(x)=9x+7
Step-by-step explanation:
Given the function
A function g is the inverse of function f if for y=f(x), x=g(y)
Replace x with y
solve for y
Therefore,
The inverse of f(x)=9x+7 is:
i.e.
Answer: i) 1 - 9x² - 12x
ii) 17 - 3x²
iii) - 20 + 10x² - x⁴
<u>Step-by-step explanation:</u>
g(x) = 3x + 2 h(x) = 5 - x²
i) h(g(x))
h(3x + 2) = 5 - (3x + 2)²
= 5 - (9x² + 12x + 4)
= 5 - 9x² - 12x - 4
= 1 - 9x² - 12x
ii) g(h(x))
g(5 - x²) = 3(5 - x²) + 2
= 15 - 3x² + 2
= 17 - 3x²
iii) h(h(x))
h(5 - x²) = 5 - (5 - x²)²
= 5 - (25 - 10x² + x⁴)
= 5 - 25 + 10x² - x⁴
= -20 + 10x² - x⁴
Answer:
12.4
Step-by-step explanation:
73.16/5.9
Answer:
She will make 217.50 for 29 hours
Step-by-step explanation:
We can find the rate per hour by dividing the money by the number of hours
90/12 =7.5 per hour
She makes 7.50 per hour
If she works 29 hours
Money = rate * hours
= 7.5 * 29
=217.50
She will make 217.50 for 29 hours
