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Find f(g(5)) if f(x) = 2x + 5 and g(x) = 3x2

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Answer:

155

Explanation:

To find f(g(5)), we need to substitute the value of g(5) into the function f(x) and evaluate the expression.

1. The function g(x) is defined as g(x) = 3x^2, where "^" represents exponentiation.

2. To find g(5), we substitute 5 for x in the function g(x):

g(5) = 3(5)^2 = 3(25) = 75

3. Now we have the value of g(5), which is 75.

4. The function f(x) is defined as f(x) = 2x + 5.

5. To find f(g(5)), we substitute 75 for x in the function f(x):

f(g(5)) = f(75) = 2(75) + 5 = 150 + 5 = 155

Therefore, f(g(5)) is equal to 155.

User Jatobat
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