If f(x) and f⁻¹(x) are inverse functions of each other and f(x)=2x+5, what is f⁻¹(8)?
1 answer:
Answer:
3/2.
Step-by-step explanation:
f(x)=2x+5 Finding the inverse:
y = 2x + 5
2x = y - 5
x = (y - 5)/2
So the inverse f-1(x) = (x - 5)/2
and f-1(8) = (8-5)/2
= 3/2.
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Answer:
2, 7, 14, 19
Step-by-step explanation:
Step-by-step explanation:
(ax + b)² = a²x² + 2abx + b²
In this case, a = 1, so:
14 = 2b
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(x + 7)² = x² + 14x + 49
Answer:
y=-3/4x+3
Step-by-step explanation:
subtract 3x from both sides: 4y=-3x+12
Divide both sides by 4: y=-3/4y+3
Divide common factors from both numerator and denominator.
Divide 2
8/2 = 4
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8/10 simplified = 4/5
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Step-by-step explanation:
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