The range of the function f(x) = x + 5 is {7, 9}. What is the function’s domain?

Solution:

It is given that the range of the function f(x) = x + 5 is {7, 9}.

The domain is the set of all values of x for which function f(x) is defined.

The range is the set of all complete values of f.

When, f(x) = 7

Then,

x + 5 = 7

By subtracting 5 on both side we get,

x = 2

When f(x) = 9

Then,

x + 5 = 9

Again, by subtracting 5 on both side we get,

x = 4

Domain = {2, 4}

Therefore, the function's domain is, {2, 4}.

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The range of the function f(x) = x + 5 is {7, 9}. What is the function’s domain?

Summary:

The range of the function f(x) = x + 5 is {7, 9}. The function's domain is, {2, 4}.