Answer :
Given f (3) = 2x® and g(x) = 4x + 3, f (g(1)) = f(7) = 98.The correct option is (E) .O 250 O 300
Given f (3) = 2x® and g(x) = 4x + 3. Evaluate f (g(1)). To find out the value of f (g(1)), we need to first find out g(1), and then use that value to find f (g(1)).
So, g(1) = 4(1) + 3 = 7 Now, we can use the value of g(1) to find f (g(1)).
f(g(1)) = f(7) Now, we do not have the value of f(x) for x = 7 or any other value. So, we cannot directly evaluate f(7).
However, we know that f(3) = 2x® We can use this information to evaluate f(7).
To do that, we need to first find out what value of x would give us 7 when we evaluate g(x).
So, we have, g(x) = 4x + 3g(x) = 7 => 4x + 3 = 7 => 4x = 4 => x = 1 Now, we have x = 1, such that g(1) = 7.
Now, we know that f(3) = 2x®. We can use this to find f(7).
f(3) = 2x® => f(3) = 2(3)² => f(3) = 18 => f(3) = 18f(7) = 2x® => f(7) = 2(7)² => f(7) = 98
Therefore, f (g(1)) = f(7) = 98.The correct option is (E) .
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