Find g(x), where g(x) is the reflection across the y-axis of f(x)=

Question

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7x–3.
Write your answer in the form mx+b, where m and b are integers.

Answer 1

To find the reflection of the function \( f(x) = -7x - 3 \) across the y-axis, we need to replace \( x \) with \( -x \) in the function.

Starting with \( f(x) \):

\[ f(x) = -7x - 3 \]

Now, we replace \( x \) with \( -x \):

\[ g(x) = f(-x) = -7(-x) - 3 \]

This simplifies to:

\[ g(x) = 7x - 3 \]

So, the reflection across the y-axis is:

\[ g(x) = 7x - 3 \]

In the form \( mx + b \), we have \( m = 7 \) and \( b = -3 \).

Thus, the final answer is:

\[ g(x) = 7x - 3 \]