If f(x) = ex and g(x) = loge x then find (fg)(1).

If f(x) = e^x and g(x) = log_ex then find (fg)(1).

One Line Answer

(fg)(1) = f(1) g(1) = e¹ \[\log^{1}_{e}\] = e × 0 = 0

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Functions and Their Graphs

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Chapter 5: Differential Calculus - Exercise 5.1 [Page 105]

Chapter 5 Differential Calculus
Exercise 5.1 | Q 6. (ii) | Page 105

For f(x) = `(x - 1)/(3x + 1)`, write the expressions of `"f"(1/x) and 1/("f"(x))`

If f(x) = e^x and g(x) = log_ex then find (f + g)(1)

If f(x) = e^x and g(x) = log_ex then find (3f) (1).

If f(x) = e^x and g(x) = log_ex then find (5g)(1).

Draw the graph of the following function:

f(x) = |x – 2|

Draw the graph of the following function:

f(x) = x |x|

Draw the graph of the following function:

f(x) = e^-2x

Which one of the following functions has the property f(x) = `"f"(1/x)`?

f(x) = -5, for all x ∈ R is a:

The range of f(x) = |x|, for all x ∈ R is: