Question

If f(x-3)=7x+4 for all values of X what is the value of f(-7)

Answer 1

9514 1404 393

Answer:

-24

Explanation:

We want to evaluate the function when ...

x -3 = -7

x = -4 . . . . . add 3

Then, ...

f(-7) = f(-4-3) = 7(-4) +4

f(-7) = -24

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Alternatively, we can rewrite the function to be f(x).

f(x) = f((x+3) -3) = 7(x +3) +4

f(x) = 7x +25

Now, f(-7) is ...

f(-7) = 7(-7) +25 = -49 +25

f(-7) = -24

Answer 2

-66

Explanation:

We have the expression f(x-3) = 7x + 4, in which for x the value is -7.

To solve first substitute x next to f(x).

f((-7) - 3) = 7x + 4

(-7) - 3

f(-10) = 7x + 4

Now that we know x is equal to -10, you may substitute to the actual equation.

f(-10) = 7(-10) + 4

f(-10) = -70 + 4

f(-10) = -66