Question

Let f(x) = 5x - 13 . Find each of the following:

f(a) =

2f(a) =

f(2a) =

f(a + 2) =

f(a) + f(2) =

Answer 1

To find the values of the given expressions, we substitute the given values into the function f(x) = 5x - 13.

1) f(a) = 5a - 13

We substitute "a" into the function:

f(a) = 5(a) - 13

Simplifying the expression, we get:

f(a) = 5a - 13

2) 2f(a) = 2(5a - 13)

We substitute "a" into the function:

2f(a) = 2(5a - 13)

Simplifying the expression, we get:

2f(a) = 10a - 26

3) f(2a) = 5(2a) - 13

We substitute "2a" into the function:

f(2a) = 5(2a) - 13

Simplifying the expression, we get:

f(2a) = 10a - 13

4) f(a + 2) = 5(a + 2) - 13

We substitute "a + 2" into the function:

f(a + 2) = 5(a + 2) - 13

Simplifying the expression, we get:

f(a + 2) = 5a + 10 - 13

f(a + 2) = 5a - 3

5) f(a) + f(2) = (5a - 13) + (5(2) - 13)

We substitute the values into the function:

f(a) + f(2) = (5a - 13) + (10 - 13)

Simplifying the expression, we get:

f(a) + f(2) = 5a - 13 + 10 - 13

f(a) + f(2) = 5a - 16

So, the values of the given expressions are:

1) f(a) = 5a - 13

2) 2f(a) = 10a - 26

3) f(2a) = 10a - 13

4) f(a + 2) = 5a - 3

5) f(a) + f(2) = 5a - 16