Answer:
C
Step-by-step explanation:
The figure congruent is the one in Option C.
We are to find the graph which best represents the given function:
f (x) = 5 (2)^-x
To be able to solve this, let us write the function of each graph mathematically
and select the correct one.
Graph A:
function f of x equals 5 multiplied by 2 to the power of negative x =>
f (x) = 5 (2)^-x
Graph B:
function f of x equals 5 multiplied by 2 to the power of x => f (x) = 5
(2)^x
Graph C:
function f of x equals 10 to the power of x => f (x) = 10^x
Graph D:
function f of x equals 10 to the power of negative x => f (x) = 10^-x
Therefore based on the mathematical interpretations above, only Graph A is
similar to the given function. Hence the correct answer is:
Graph A
(x + 5) / (3x + 4) + (x + 4) / (x + 3)
[(x + 5)(x + 3) + (x + 4)(3x + 4)] / (3x + 4)(x + 3)
(x² + 8x + 15 + 3x² + 16x + 16) / (3x² + 13x + 12)
(4x² + 24x + 31) / (3x² + 13² + 12)
The first option is correct.