What is the inverse of the fraction FX = 1/4 x = -12
1 answer:
The inverse function of the function f(x) will be f⁻¹(x) = 4x + 48. Then the correct option is D.
The complete question is attached below.
<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
It simply means, inverse of 'f' is an undo operator, that takes back the effect of 'f'
The function is given below.
f(x) = (1/4)x – 12
Then the inverse function of the function f(x) will be
(1/4)f⁻¹(x) - 12 = x
f⁻¹(x) = 4x + 48
Then the correct option is D.
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Answer:
Step-by-step explanation:
The parent function is
First it is asked to reflect over the y axis so using the rule
Our function looks like
Then we are asked to shift the equation to the right 7. When shifting to the right or move the x axis, instead of adding 7 we would want to subtract 7 since the x axis is the independent variable and we must respect the y axis which is the dependent so using the rule
When subtracting a 7 it looks like now
where h is the number we move . Now we are asked to apply a vertical stretch of 12. Since vertical stretch refers to the y axis, we are just going to multiply the function by 12 using the rule
where a is the vertical stretch. So now it would look like