If f(x-1)=2x+3 for all the values of x, what is the value of f(-3)

For the given function defined for all the values of x, F(-3) is -5.

The given function;

The F(-3) is obtained by simplifying the original function as shown below;

F(x - 1) = 2(x-1) + 3

F(x-1) = 2x - 2 + 3

F(x-1) = 2x + 1

Now, F(-3) is calculated by substituting the "-3" for "x" in the simplified function;

F(-3) = 2(-3) + 1

F(-3) = -6 + 1

F(-3) = -5

Thus, for the given function defined for all the values of x, F(-3) is -5.

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Step-by-step explanation:

Start with F(x - 1) = 2x + 3.  Rewrite the right side (2x + 3) as follows:

F(x - 1) = 2[ x ] + 3

F(x - 1) = 2[ x - 1 + 1 ] + 3  =  2 [ (x - 1) + 1 ]   + 3

                                        =  2 (x - 1) + 2 + 3

                                         =  2(x - 1) + 5

To evaluate F(-3), replace "x - 1" with "-3" :

                                 F(-3)   =     2(-3) + 5  =  -1

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.