If f(x) = ex and g(x) = loge x then find (3f) (1).

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

एका वाक्यात उत्तर

(3f)(1) = 3 f(1) = 3 e¹ = 3e

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Functions and Their Graphs

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पाठ 5: Differential Calculus - Exercise 5.1 [पृष्ठ १०५]

पाठ 5 Differential Calculus
Exercise 5.1 | Q 6. (iii) | पृष्ठ १०५

Determine whether the following function is odd or even?

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

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

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 (5g)(1).

Draw the graph of the following function:

f(x) = e^-2x

Draw the graph of the following function:

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

If f(x) = `1/(2x + 1)`, x > `-1/2`, then show that f(f(x)) = `(2x + 1)/(2x + 3)`

The graph of y = e^x intersect the y-axis at:

f(x) = -5, for all x ∈ R is a: