Question

F(x) =2x+4 translate 7 units left​

Answer 1

Answer:

$f'(x) = 2x - 10$

Step-by-step explanation:

Given

$f(x) = 2x + 4$

Required

Translate 7 units left

When a function f(x) is translated b units to the left, the resulting function is:

$f'(x) = f(x-b)$

In this case:

$f(x) = 2x + 4$

$b = 7$

$f'(x) = f(x-b)$ becomes

$f'(x) = f(x - 7)$

Calculating $f(x-7)$

$f(x-7) = 2(x-7)+4$

$f(x-7) = 2x-14+4$

$f(x-7) = 2x-10$

So:

$f'(x) = 2x - 10$