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f(x) =2x+4 translate 7 units left​

Sagot :

MrRoyal

Answer:

[tex]f'(x) = 2x - 10[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2x + 4[/tex]

Required

Translate 7 units left

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

[tex]f'(x) = f(x-b)[/tex]

In this case:

[tex]f(x) = 2x + 4[/tex]

[tex]b = 7[/tex]

[tex]f'(x) = f(x-b)[/tex] becomes

[tex]f'(x) = f(x - 7)[/tex]

Calculating [tex]f(x-7)[/tex]

[tex]f(x-7) = 2(x-7)+4[/tex]

[tex]f(x-7) = 2x-14+4[/tex]

[tex]f(x-7) = 2x-10[/tex]

So:

[tex]f'(x) = 2x - 10[/tex]

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