Solve the system of equations 2x+4y=6 and 5y-2x=10
2 answers:
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We are given the following functions
Let us first find f(g(x)
Substitute x = 5x - 1 into the function f(x) and simplify
Now let us find g(f(x))
Substitute x = x² - 3x + 1 into the function g(x) and simplify
Therefore, f(g(x) and g(f(x)) are
Answer:
The product of two fractions can be calculated as follows:
So, the numerator is the product of the numerators of the two fractions, and the denominator is the product of the denominators of the two fractions.
In this problem, we know that the product is 6/40, so:
This means:
So we just need to find 2 pairs of numbers a, b to make c and d integers.
The first choice we use is:
a = 3
b = 2
So we get:
So the first pair of fractions is
The second choice we use is:
a = 2
b = 10
So we get:
So the second pair of fractions is
