Answer:
Proved!
Step-by-step explanation:
For two functions f(x) and g(x) to be inverses of each other then;
f(g(x)) = x and g(f(x)) = x condition must be satisfied.
<u>Checking: A. f(x) = 7x³ + 10 and g(x) = ∛</u>
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So f(g(x)) = 7(![\sqrt[3]{(x- 10)/7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%28x-%2010%29%2F7%7D)
)³ + 10
We get; 7() + 10 = x - 10 + 10 = x (*<em>This is correct!)</em>
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So g(f(x)) = ![\sqrt[3]{((7x^3 + 10) - 10)/7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%28%287x%5E3%20%2B%2010%29%20-%2010%29%2F7%7D)
Ten cancels out and we are left with;
![\sqrt[3]{7x^3/7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7x%5E3%2F7%7D)
= ![\sqrt[3]{x^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E3%7D)
= x (* <em>This is also correct!)</em>
It is equivalent to 2x^2 + 7x -13
13×965= $12,545
each person pays $13 and 965 people come so you times them together to get the answer
Answer:
3.)138
4.) 149
Step-by-step explanation:
you add the two inside measures together.
Answer:
y = 3x + 2
Step-by-step explanation:
The equation for two points on a line is generated from the straight line equation y = mx + b ---------------- eqn (i)
where m, the slope = (y2 - y1) / (x2 - x1)
therefore for (0,2) and (1,5) m = (5 - 2)/(1 - 0) = 3
This implies that eqn (i) can be rewritten as:
y = 3x + b ------------------- eqn (ii)
pickintg the point (0,2) and substituting into eqn (ii)
2 = 3(0) + b
this implies that b = 2
for confirmation with (1,5)
5 = 3(1) + b
b = 5 - 3 = 2
hence m = 3, b = 2
the equation is y = 3x + 2
