Respuesta :
Answer:
3rd Option
Step-by-step explanation:
Which equation is the inverse of y = 7x2 – 10?
y = StartFraction plus-or-minus StartRoot x + 10 EndRoot Over 7 EndFraction
y = plus-or-minus StartRoot StartFraction x + 10 Over 7 EndFraction EndRoot
x = plus-or-minus StartRoot StartFraction x Over 7 EndFraction + 10 EndRoot
y = StartFraction plus-or-minus StartRoot x EndRoot Over 7 EndFraction plus-or-minus StartFraction StartRoot 10 EndRoot Over 7 EndFraction
A clearer question:
Which equation is the inverse of y = 7x² – 10
The required inverse of the given function is expressed as [tex]y=\sqrt{\frac{x+10}{7}}[/tex]
Step 1: Replace y with x
x = 7y² – 10
Step 2: Make y the subject of the formula:
7y² = x+ 10
Step 3: Divide both sides by 7
7y²/7 = (x+10)/ 7
y² = (x+10)/ 7
Step 4; Take the square root of both sides
[tex]\sqrt{y^2} =\sqrt{\frac{x+10}{7} } \\y = \sqrt{\frac{x+10}{7} } \\[/tex]
Hence the required inverse of the given function is expressed as [tex]y=\sqrt{\frac{x+10}{7}}[/tex]
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