Need help with number 1
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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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