If the function f(x) = 5x – 3, then its inverse function g(x) will be (x + 3) / 5. Then the correct option is C.
<h3>What is
inverse of a function?</h3>
Suppose that the given function is
f:X → Y
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
f⁻¹: Y → X
such that:

(and vice versa).
It simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'.
If the f(x) = 5x - 3, then the inverse function of the f(x) will be
g(x) = f⁻¹(x)
Then we have
5g(x) - 3 = x
5g(x) = x + 3
g(x) = (x + 3) / 5
Then the correct option is C.
Learn more about inverse function here:
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Answer:
<h2>(x + 7)² + (y + 2)² = 49</h2>
Step-by-step explanation:
The standard form of an equation of a circle:

(h, k) - center
r - radius
We have:
center (-7, -2) → h = -7 and k = -2
radius r = 7.
Substitute:

Answer:
a = 11,390,625.
Step-by-step explanation:
a^x/6 = (a^1/6)^x
(a^1/6)^x = 15^x so:
a^1/6 = 15
1/6 ln a = ln 15
ln a = 6 ln 15
ln a = 16.2483
a = 11390625.
Answer:
3.2
Step-by-step explanation:
I'm not totally sure what you mean. I'm reading it as y² = 5x
So let y = 4
4² = 5x
16 = 5x Divide by 5
16/5 = x
3.2 = x
Answer:
40 total rocks
Step-by-step explanation:
100 * 36 / 90 = 40