Answer:
(-4,7)
Step-by-step explanation:
Given
A point on f(x) = (-1,7)
Required
Find the coordinates of f(x+3)
The given parameter can be rewritten as
[tex]f(-1) = 7[/tex]
We're to solve for [tex]f(x+3)[/tex]
By comparing [tex]f(-1) = 7[/tex] to [tex]f(x+3)[/tex];
The expressions in the bracket implies that
[tex]-1 = x + 3[/tex]
Subtract 3 from both sides
[tex]-1 - 3 = x + 3 - 3[/tex]
[tex]-1 - 3 = x[/tex]
[tex]-4 = x[/tex]
[tex]x = -4[/tex]
Stil comparing
[tex]f(-1) = 7[/tex] to [tex]f(x+3)[/tex];
If f(-1) = f(x + 3) then
[tex]f(x +3)= 7[/tex]
Hence, the coordinates of f(x+3) is (-4,7)
