Hi pls help me lovelies
2 answers:
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Answer:
f⁻¹(x) = (x - 1)/8
Or
f⁻¹(x) = 1/8 x - 1/8
Step-by-step explanation:
To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".
Remember <u>"f(x)" is the same thing as "y"</u>. Change from function notation to "y".
f(x) = 8x + 1
y = 8x + 1
<u>Switch the "x" and "y" variables</u>
x = 8y + 1
<u>Isolate "y"</u>. Move the "y" variable to the left for standard formatting
8y + 1 = x
8y + 1 - 1 = x - 1 Subtract 1 from both sides
8y = x - 1
Divide both sides by 8 and simplify
Inverse equation
Slope-intercept form
<u>Use function notation</u>, change "y"
Simplified
Slope-intercept form
Answer:
Step-by-step explanation:
We know that the equation that models the height of the ball as a function of time is .
Where the initial speed is 80 feet.
When the ball lands on the ground, its height will be .
So to know how long it will take the ball to reach the ground, equal h (t) to zero and solve for t.
To solve this quadratic equation we use the quadratic formula.
For an equation of the form:
The quadratic formula is:
In this case
Then
We take the positive solution
25 1/2 Answer
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