GMAT Exam > GMAT Questions > If f(x) = 3x2 – 5x + 9 and g(x) = 4x &#...
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If f(x) = 3x2 – 5x + 9 and g(x) = 4x – 5, then find the value of g( f(x)) at x = 3.
- a)7
- b)51
- c)56
- d)79
- e)121
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If f(x) = 3x2 – 5x + 9 and g(x) = 4x – 5, then find the va...
The information provided in the question is:
f(x) = 3x2 – 5x + 9
g(x) = 4x – 5
We have to find out the value of g( f(x)) at x = 3.
f(x) = 3x2 – 5x + 9
f(3) = 3*(3)2 – 5*3 + 9
= 27 – 15 + 9
= 21
g(x) = 4x – 5
g(f(x)) = 4f(x) -5
g( f(3)) = 4f(3) – 5
= 4*21 – 5
= 84 – 5
= 79
Answer: Option (D)
Most Upvoted Answer
If f(x) = 3x2 – 5x + 9 and g(x) = 4x – 5, then find the va...
To find the value of g(f(x)) at x = 3, we need to first evaluate f(x) and then substitute the result into g(x).
Given that f(x) = 3x^2 - 5x + 9 and g(x) = 4x - 5, we can follow these steps:
Step 1: Evaluate f(x)
Substitute x = 3 into the expression for f(x):
f(3) = 3(3)^2 - 5(3) + 9
= 3(9) - 15 + 9
= 27 - 15 + 9
= 21
Step 2: Substitute the result into g(x)
Substitute f(x) = 21 into the expression for g(x):
g(f(x)) = g(21)
= 4(21) - 5
= 84 - 5
= 79
Therefore, the value of g(f(x)) at x = 3 is 79.
Hence, the correct answer is option D) 79.
Given that f(x) = 3x^2 - 5x + 9 and g(x) = 4x - 5, we can follow these steps:
Step 1: Evaluate f(x)
Substitute x = 3 into the expression for f(x):
f(3) = 3(3)^2 - 5(3) + 9
= 3(9) - 15 + 9
= 27 - 15 + 9
= 21
Step 2: Substitute the result into g(x)
Substitute f(x) = 21 into the expression for g(x):
g(f(x)) = g(21)
= 4(21) - 5
= 84 - 5
= 79
Therefore, the value of g(f(x)) at x = 3 is 79.
Hence, the correct answer is option D) 79.
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If f(x) = 3x2 – 5x + 9 and g(x) = 4x – 5, then find the value of g( f(x)) at x = 3.a)7b)51c)56d)79e)121Correct answer is option 'D'. Can you explain this answer?
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