If f(x+3)=2x-1 for all values of x, what is the value of f(-5)?

clearly if we want to have f(x+3) have -5 in the argument, we must have x + 3 = -5, meaning that x = -8. therefore

f(-8+3) = 2(-8) - 1

f(-5) = -16 - 1 = -17

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions