Question

Given: f(x) = x2, g(x) = x + 6, h(x) = 7
Find f(g[h(x)]).
55
169
26

Answer 1

169

Explanation:

We are asked to find:

f(g[h(x)])

We know that f(x) = x^2, g(x) = x + 6, and h(x) = 7

Therefore, we can begin by substituting 7 for h(x)

f(g[h(x)]), h(x)=7

f(g[7])

Now, we must find g(7). We know that g(x) is x+6

g(x)=x+6

We want to find g(7). Plug 7 in for each x.

g(7)=7+6

Add 7 and 6

g(7)=13

Substitute 13 in for g(7)

f(g[7])

f(13)

Finally, find f(13). We know that f(x)=x^2

f(x)=x^2

We want to find f(13). Plug 13 in for each x.

f(13)=13^2

13^2= 13*13= 169

f(13)=169

169

Therefore, f(g[h(x)]) is 169

Answer 2

169

Explanation:

f(x) = x^2, g(x) = x + 6, h(x) = 7

f(g[h(x)])

Replace h(x) with 7

f(g(7))

g(7) = 7+6 = 13

Replace g(7) with 13

f(13) = 13^2 = 169