Question

Question 12 of 23 (1 point) Find two functions f and g such that h(x)=(fog)(x) and f(x) * g() + x. n(x) = */7x +5 f(x)=0 and g(x)=0

Answer 1

Solution: +] Given incet heae) 3 ✓ Fxt 5 and hox) (fog)(x) frue) #gce) ## To find the free) and gene] clain: h(x)=(fog)(x) 3/77 +5 let gfx) = 7x+5 (Fesles (96x)) fo let free) = 35x hex) =(fog)(x) =f(g(x)) 3 [7x+5 3 1903ej compare both side goue): 7x75 f(x) = 3/7 = 7x75 (gree) Given Sce)s 2 2-3 23 claim: To find the inverse function of six)

Step 1 let y = scae) 2 ya 2-3 step 2 Switch the x andy ire, replace x=y and y=x 2- 2 Y-3 solve this equation for y 2 Y-3 x(4-3) = 2 (4-3) 2 w/X y 2 / +3 y = 2732 2 .: + s(5): y s-(30) = 2+3x X