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If \(f(x) = 2x^2 + 7x - 9\) and \(g(x) = 2x + 3\), then what is the value of \(g(f(x))\) at \(x = 3\) ?
A. 46
B. 57
C. 61
D. 62
E. 63
A. 46
B. 57
C. 61
D. 62
E. 63
08 Aug 2022, 10:07
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Given that \(f(x) = 2x^2 + 7x - 9\) and \(g(x) = 2x + 3\) and we need to find the value of \(g(f(x))\) at \(x = 3\) or g(f(3))
Lets start by finding the value of f(3)
To find f(3) we need to compare what is inside the bracket in f(3) and f(x)
=> We need to substitute x with 3 in \(f(x) = 2x^2 + 7x - 9\) to get the value of f(3)
=> \(f(3) = 2*3^2 + 7*3 - 9\) = 2*9 + 21 - 9 = 18 + 12 = 30
=> g(f(3)) = g(30)
Similarly, \(g(30) = 2*30 + 3\) = 63
=> g(f(3)) = g(30) = 63
So, Answer will be E
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
Lets start by finding the value of f(3)
To find f(3) we need to compare what is inside the bracket in f(3) and f(x)
=> We need to substitute x with 3 in \(f(x) = 2x^2 + 7x - 9\) to get the value of f(3)
=> \(f(3) = 2*3^2 + 7*3 - 9\) = 2*9 + 21 - 9 = 18 + 12 = 30
=> g(f(3)) = g(30)
Similarly, \(g(30) = 2*30 + 3\) = 63
=> g(f(3)) = g(30) = 63
So, Answer will be E
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
