Practice Questions for Algebra - Functions & Graphs

1. CRE 4 - Composite Functions | Algebra - Functions & Graphs

f(x) = 2x + 3. Find f(f(2).

Backspace

7 8 9 4 5 6 1 2 3 0 . -

Clear All Submit

2. CRE 4 - Composite Functions | Algebra - Functions & Graphs

f(x) = 2x + 3 and g(x) = 5x – 4. Find f(g(1)).

Backspace

7 8 9 4 5 6 1 2 3 0 . -

Clear All Submit

3. CRE 4 - Composite Functions | Algebra - Functions & Graphs

If f(x + f(x)) = x² – 3x + 5 and f(1) = 2, then find f(34).

(a)
93
(b)
39
(c)
185
(d)
190
(e)
102

4. CRE 4 - Composite Functions | Algebra - Functions & Graphs

If p(x) = 2x – 4, q(x) = x and r(x) = 1/x, then the formula for r(p(q(x))) is

(a)
2x - 4
(b)
1/(2x - 4)
(c)
1/(2x - 4)²
(d)
None of these

5. CRE 4 - Composite Functions | Algebra - Functions & Graphs

A recursive formula is given by f(n) = f(f(n – 1)) + f(n – f(n – 1)), where n > 2 is an integer. If it is known that f(1) = 1 and f(2) = 1, find the value of f(4).

(a)
1
(b)
2
(c)
3
(d)
4

6. CRE 4 - Composite Functions | Algebra - Functions & Graphs

If f(x) = 2x+3 and g (x) = (x – 3)/2, then what is the value of gof(x) - fog(x)?

(a)
x
(b)
0
(c)
x²
(d)
None of these

7. CRE 4 - Composite Functions | Algebra - Functions & Graphs

If f(x) = 2x + 3 and g (x) = (x – 3)/2, then what is the value of fofog(x)?

(a)
f(x)
(b)
0
(c)
g(x)
(d)
None of these

8. CRE 4 - Composite Functions | Algebra - Functions & Graphs

If f(x) = |x| and g(x) = [x], then value of fog(-1/3) + gof(-1/3) is

where, |x| is the absolute function, and
[x] represents the greatest integer less than or equal to x.

(a)
0
(b)
1
(c)
-1
(d)
1/3

9. CRE 4 - Composite Functions | Algebra - Functions & Graphs

Find the value of $f (f (\frac{1}{2}))$ + $f (f (f (3)))$ , if f(x) = $\{\begin{cases} \frac{1}{x - 1} & if x is an integer \\ \frac{1}{1 - x} & if x is not an integer \end{cases}$

(a)
2
(b)
3
(c)
4
(d)
5

CRE 4 - Composite Functions | Algebra - Functions & Graphs

Feedback