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F(x)= 2x^2-x+6
g(x)= 2x+12
find g(f(x))

User EricS
by
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1 Answer

5 votes

Explanation:

To find g(f(x)), you need to first substitute the expression for f(x) into g(x). Here are the steps:

1. Start with the expression for g(x):

g(x) = 2x + 12

2. Now, replace x in g(x) with the expression for f(x):

g(f(x)) = 2f(x) + 12

3. The expression for f(x) is:

f(x) = 2x^2 - x + 6

4. Substitute this into g(f(x)):

g(f(x)) = 2(2x^2 - x + 6) + 12

5. Distribute the 2 on the right side of the equation:

g(f(x)) = 4x^2 - 2x + 12 + 12

6. Combine like terms:

g(f(x)) = 4x^2 - 2x + 24

So, g(f(x)) is equal to 4x^2 - 2x + 24.

User Fakhrul Islam Fuad
by
8.1k points

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