Consider the function f(x)=3/4x+12 what is the y-intercept of f-1(x)
2 answers:
Answer:
y = -16
Step-by-step explanation:
f(x)=3/4x+12 (replace f(x) with y)
y =3/4x+12 (rearrange to express x in terms of y)
y - 12=3/4 x
3/4 x = y - 12
3x = 4(y - 12)
x = (4/3)(y - 12)
x = (4/3)y - (4/3)(12)
x = (4/3)y - 16
(y) = (4/3)y - 16
(x) = (4/3)x - 16
comparing to general form
y = mx + b where b is the y-intercept
b = -16
Hence the y-intercept is y = -16
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Answer:
∛27 = 3
Step-by-step explanation:
A radical is simply a fractional exponent:
Hence, ∛27 =
Since 27 = 3³, then:
You could rewrite ∛27 as ∛(3)³.
Multiplying the fractional exponents (3 × 1/3) will result in 1 (because 3 is the <u><em>multiplicative inverse</em></u> of 1/3). The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.
Therefore, ∛27 = 3.