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If f(x) = ex and g(x) = logex then value of fog will be
- a)x
- b)0
- c)1
- d)e
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If f(x) = ex and g(x) = logex then value of fog will bea)xb)0c)1d)eCor...
fog = f (logex) = elogex = x.
Most Upvoted Answer
If f(x) = ex and g(x) = logex then value of fog will bea)xb)0c)1d)eCor...
To find the value of fog, we need to substitute the function g(x) into the function f(x).
Given:
f(x) = ex
g(x) = logex
Substituting g(x) into f(x), we get:
f(g(x)) = e^(logex)
Now, let's simplify this expression step by step.
1. Applying the logarithmic property:
logex = x
2. Substituting the value of logex in the expression:
f(g(x)) = e^x
So, the value of fog, i.e., f(g(x)), is e^x.
Now, let's analyze the given options to find the correct answer.
a) x
b) 0
c) 1
d) e
We can see that the expression e^x does not match any of the given options exactly. However, we can notice that it matches option 'A' (x) if we consider that x is a variable representing any real number.
Therefore, the correct answer is option 'A' (x).
In summary,
f(g(x)) = e^x
So, the value of fog is x.
Given:
f(x) = ex
g(x) = logex
Substituting g(x) into f(x), we get:
f(g(x)) = e^(logex)
Now, let's simplify this expression step by step.
1. Applying the logarithmic property:
logex = x
2. Substituting the value of logex in the expression:
f(g(x)) = e^x
So, the value of fog, i.e., f(g(x)), is e^x.
Now, let's analyze the given options to find the correct answer.
a) x
b) 0
c) 1
d) e
We can see that the expression e^x does not match any of the given options exactly. However, we can notice that it matches option 'A' (x) if we consider that x is a variable representing any real number.
Therefore, the correct answer is option 'A' (x).
In summary,
f(g(x)) = e^x
So, the value of fog is x.
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If f(x) = ex and g(x) = logex then value of fog will bea)xb)0c)1d)eCorrect answer is option 'A'. Can you explain this answer?
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If f(x) = ex and g(x) = logex then value of fog will bea)xb)0c)1d)eCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If f(x) = ex and g(x) = logex then value of fog will bea)xb)0c)1d)eCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If f(x) = ex and g(x) = logex then value of fog will bea)xb)0c)1d)eCorrect answer is option 'A'. Can you explain this answer?.
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