If f(x) = ex and g(x) = loge x then find (i) (f + g) (1) (ii) (fg) (

1.	If f(x) = ex and g(x) = loge x then find (i) (f + g) (1) (ii) (fg) (1) (iii) (3f) (1) (iv) (5g) (1)
Answer» (i) (f + g) (1) = e¹ + log_e 1 = e + 0 = e (ii) (fg) (1) = f(1) g(1) = e¹ log_e¹ = e x 0 = 0 (iii) (3f) (1) = 3 f(1) = 3 e¹ = 3e (iv) (5g) (1) = 5 (g) (1) = 5 log_e¹= 5 x 0 = 0

If f(x) = ex and g(x) = loge x then find (i) (f + g) (1) (ii) (fg) (1) (iii) (3f) (1) (iv) (5g) (1)

Answer»

(i) (f + g) (1) = e¹ + log_e 1 = e + 0 = e

(ii) (fg) (1) = f(1) g(1) = e¹ log_e¹ = e x 0 = 0

(iii) (3f) (1) = 3 f(1) = 3 e¹ = 3e

(iv) (5g) (1) = 5 (g) (1) = 5 log_e¹= 5 x 0 = 0