Given f(x) = 4x + 2, find f-1(3).
1 answer:
Answer:
1/4
Step-by-step explanation:
The inverse function tells you the input value that corresponds to the given output value of the function.
<h3>Application</h3>You want f^-1(3), which is the value of x such that f(x) = 3.
f(x) = 3 = 4x +2
1 = 4x . . . . . . subtract 2
1/4 = x . . . . . divide by 4
The inverse function of 3 is 1/4:
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Answer:
2
Step-by-step explanation:
The question state that; the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.
First, we need to interpret and represent this statement mathematically
Let n be the number.
The sum means 'addition'
1/6 of that number is 1/6 of n = 1/6 × n =
2 1/2 of that number is 2 1/2 of n = 2 1/2 × n = 5/2 × n =
So the question says that, when we add; ,
and 7 all together, the value is 12 1/2
That is;
+
+ 7 = 12 1/2
+
+ 7 =
( changing 12 1/2 to improper fraction will give
)
So we can now go ahead and solve for n
+
+ 7 =
subtract 7 from both-side of the equation
+
=
- 7
=
=
can be reduced to give us
=
Cross multiply
8n × 2 = 11× 3
16n = 33
Divide both-side of the equation by 16
=
(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while on the right-hand side of the equation 33 will be divided by 16)
n = =
Therefore the number is