If f(x) = 5x − 3, which expression represents its inverse function?
2 answers:
Answer:
inverse of function is .
Step-by-step explanation:
Given:If f(x) = 5x − 3
To find: which expression represents its inverse function.
Solution We have given that
f(x) = 5x − 3
Step 1: take f(x) = y
y = 5x -3.
Step 2 : Interchange the x and y
x = 5y -3.
Solve for y
On adding both sides by number 3
x + 3 = 5y.
On dividing both sides by 5
y = .
Here y = =
.
Therefore, inverse of function is .
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Answer:
3200 people
Step-by-step explanation:
p = The frequency of the dominant gene
q = The frequency of the recessive gene
p+q = 1
⇒p = 1-q
⇒p = 1-0.2
⇒p = 0.8
Hardy-Weinberg formula
p² + 2pq + q² = 1
Now for heterozygous trait
2pq = 2×0.8×0.2 = 0.32
Multiplying with the population
0.32×10000 = 3200
∴ 3200 people would be expected to be heterozygous for this trait.