3 over x minus 2 equals 1 over x
1 answer:
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Answer:
See explanation below
Step-by-step explanation:
Let's use Q10 as an example and you will work on Q11-12 as they are the same.
I believe the middle column (5x-4) wants you to substitute the given x, so:
Q10.1: 5(-2)-4
Q10.2: 5(4)-4
Q10.3: 5(0)-4
Q10.4: 5(1)-4
The right most column (f(x)) should be asking you the answers from your middle column, so:
Q10.1: -14
Q10.2: 16
Q10.3: -4
Q10.4: 1
As for the domain and range, let's define these two names in case you haven't learnt them:
Domain: What reasonable x values can be inputted into the function.
Range: What reasonable results will be shown after calculating.
In these case, you can input any real numbers into x as you like into the function, the results will always be other real numbers.
Hence, for Q10-12, D and R should be "All real numbers"
Just some extra info, Let the function f(x) be . Since the denominator cannot be 0 in a fraction, we say that the domain of x is "All real numbers except -1" as
and
is undefined.
Answer:
x = 3
Step-by-step explanation:
When you multiply two exponents with the same base, you add the powers together. This means that
This means that the equation is now
The first we need to do is remove the exponent. To do this, we have to take of each side to remove it
This gives us