Question

Given the following functions f(x) and g(x), solve f[g(10)] and select the correct answer below:

Answer 1

Answer:

Option D is correct.

$f[g(10)]$ = 198

Step-by-step explanation:

Given the function:

$f(x) = 10x+8$

$g(x) = x+9$

Solve: $f[g(10)]$

First calculate:

f[g(x)]

Substitute the function g(x)

$f[x+9]$

Replace x with x+9 in the function f(x) we get;

$f(x+9) = 10(x+9)+8$

The distributive property says that:

$a\cdot (b+c) = a\cdot b+ a\cdot c$

Using distributive property:

$f(x+9) = 10x+90+8=10x+98$

⇒$f[g(x)] = 10x+98$

Put x = 10 we get;

$f[g(10)] =10(10)+98=100+98=198$

Therefore, the value of  $f[g(10)]$ is 198

Answer 2

g(10) = 10 + 9 = 19

f[g(10)]  = 10(19) + 8 = 190 + 8 = 198

answer
D. 198