If f(x) = ex and g(x) = loge x then find (5g)(1).

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

One Line Answer

(5g) (1) = 5 (g) (1) = 5 \[\log_{e}^{1}\] = 5 × 0 = 0

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

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

Determine whether the following function is odd or even?

f(x) = `log (x^2 + sqrt(x^2 + 1))`

Determine whether the following function is odd or even?

f(x) = x² – |x|

Let f be defined by f(x) = x³ – kx² + 2x, x ∈ R. Find k, if ‘f’ is an odd function.

If f(x) = `((x + 1)/(x - 1))`, then prove that f(f(x)) = x.

Draw the graph of the following function:

f(x) = `|x|/x`

The minimum value of the function f(x) = |x| is:

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

If f(x) = 2^x and g(x) = `1/2^x` then (fg)(x) is:

Which of the following function is neither even nor odd?

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