The inverse function will be g(x) = (x + 3) / 5. Then the value of the function f(5) and g(3) will be 22 and 6/5.
<h3>What is
inverse of a function?</h3>
Let the function will be
f: X → Y
Then the inverse function will be
f⁻¹: Y → X
The function is given below.
f(x) = 5x – 3
Then the value of the function f(x) at x = 5, will be
f(5) = 5 × 5 – 3
f(5) = 22
The g(x) is the inverse function of f(x).
Then the function g(x) will be
5g(x) – 3 = x
g(x) = (x + 3) / 5
Then the value of function g(x) at x = 3, will be
g(3) = (3 + 3) / 5
g(3) = 6 / 5
The complete question is given below.
The function f(x) = 5x – 3. And the function g(x) is the inverse of f(x). Find the value of the function f(5) and g(3).
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